2259 has 6 divisors (see below), whose sum is σ = 3276. Its totient is φ = 1500.

The previous prime is 2251. The next prime is 2267. The reversal of 2259 is 9522.

Added to its reverse (9522) it gives a triangular number (11781 = T_{153}).

2259 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2259 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (2251) and next prime (2267).

It is not a de Polignac number, because 2259 - 2^{3} = 2251 is a prime.

It is a plaindrome in base 10.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

2^{2259} is an apocalyptic number.

2259 is a deficient number, since it is larger than the sum of its proper divisors (1017).

2259 is a wasteful number, since it uses less digits than its factorization.

2259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 254 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 2259 is about 47.5289385533. The cubic root of 2259 is about 13.1211553365.

Adding to 2259 its reverse (9522), we get a triangular number (11781 = T_{153}).

It can be divided in two parts, 225 and 9, that multiplied together give a square (2025 = 45^{2}).

The spelling of 2259 in words is "two thousand, two hundred fifty-nine".

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