253957 has 4 divisors (see below), whose sum is σ = 277056. Its totient is φ = 230860.

The previous prime is 253951. The next prime is 253969. The reversal of 253957 is 759352.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 253957 - 2³ = 253949 is a prime.

It is a Duffinian number.

253957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11533 + ... + 11554.

It is an arithmetic number, because the mean of its divisors is an integer number (69264).

2²⁵³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

253957 is a deficient number, since it is larger than the sum of its proper divisors (23099).

253957 is a wasteful number, since it uses less digits than its factorization.

253957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23098.

The product of its digits is 9450, while the sum is 31.

The square root of 253957 is about 503.9414648548. The cubic root of 253957 is about 63.3266813574.

The spelling of 253957 in words is "two hundred fifty-three thousand, nine hundred fifty-seven".