253657 has 8 divisors (see below), whose sum is σ = 275616. Its totient is φ = 232512.

The previous prime is 253651. The next prime is 253661. The reversal of 253657 is 756352.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 253657 - 2¹¹ = 251609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558 + ... + 904.

It is an arithmetic number, because the mean of its divisors is an integer number (34452).

2²⁵³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

253657 is a deficient number, since it is larger than the sum of its proper divisors (21959).

253657 is a wasteful number, since it uses less digits than its factorization.

253657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

The product of its digits is 6300, while the sum is 28.

The square root of 253657 is about 503.6437232807. The cubic root of 253657 is about 63.3017355462.

The spelling of 253657 in words is "two hundred fifty-three thousand, six hundred fifty-seven".