253557 has 8 divisors (see below), whose sum is σ = 375680. Its totient is φ = 169020.

The previous prime is 253553. The next prime is 253567. The reversal of 253557 is 755352.

It is not a de Polignac number, because 253557 - 2² = 253553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9391 = 253557 / (2 + 5 + 3 + 5 + 5 + 7).

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 253557.

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 253557.

It is not an unprimeable number, because it can be changed into a prime (253553) 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, 4669 + ... + 4722.

It is an arithmetic number, because the mean of its divisors is an integer number (46960).

2²⁵³⁵⁵⁷ is an apocalyptic number.

253557 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

253557 is a deficient number, since it is larger than the sum of its proper divisors (122123).

253557 is an equidigital number, since it uses as much as digits as its factorization.

253557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9400 (or 9394 counting only the distinct ones).

The product of its digits is 5250, while the sum is 27.

The square root of 253557 is about 503.5444369666. The cubic root of 253557 is about 63.2934159051.

The spelling of 253557 in words is "two hundred fifty-three thousand, five hundred fifty-seven".