253917 has 12 divisors (see below), whose sum is σ = 372060. Its totient is φ = 166848.

The previous prime is 253909. The next prime is 253919. The reversal of 253917 is 719352.

It can be written as a sum of positive squares in 2 ways, for example, as 29241 + 224676 = 171^2 + 474^2 .

It is not a de Polignac number, because 253917 - 2³ = 253909 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253917.

It is not an unprimeable number, because it can be changed into a prime (253919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 643 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (31005).

2²⁵³⁹¹⁷ is an apocalyptic number.

It is an amenable number.

253917 is a deficient number, since it is larger than the sum of its proper divisors (118143).

253917 is a wasteful number, since it uses less digits than its factorization.

253917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 253917 is about 503.9017761429. The cubic root of 253917 is about 63.3233563847.

It can be divided in two parts, 2539 and 17, that added together give a triangular number (2556 = T₇₁).

The spelling of 253917 in words is "two hundred fifty-three thousand, nine hundred seventeen".