253157 has 2 divisors, whose sum is σ = 253158. Its totient is φ = 253156.

The previous prime is 253153. The next prime is 253159. The reversal of 253157 is 751352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229441 + 23716 = 479^2 + 154^2 .

It is a cyclic number.

It is not a de Polignac number, because 253157 - 2² = 253153 is a prime.

It is a super-3 number, since 3×253157³ = 48673331854382679, which contains 333 as substring.

Together with 253159, it forms a pair of twin primes.

It is a Chen 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 253157.

It is not a weakly prime, because it can be changed into another prime (253153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126578 + 126579.

It is an arithmetic number, because the mean of its divisors is an integer number (126579).

2²⁵³¹⁵⁷ is an apocalyptic number.

It is an amenable number.

253157 is a deficient number, since it is larger than the sum of its proper divisors (1).

253157 is an equidigital number, since it uses as much as digits as its factorization.

253157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1050, while the sum is 23.

The square root of 253157 is about 503.1470957881. The cubic root of 253157 is about 63.2601154490.

The spelling of 253157 in words is "two hundred fifty-three thousand, one hundred fifty-seven".