257953 has 2 divisors, whose sum is σ = 257954. Its totient is φ = 257952.

The previous prime is 257947. The next prime is 257981. The reversal of 257953 is 359752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169744 + 88209 = 412^2 + 297^2 .

It is a cyclic number.

It is not a de Polignac number, because 257953 - 2⁵ = 257921 is a prime.

It is a d-powerful number, because it can be written as 2 + 5⁵ + 9⁵ + 7⁶ + 5⁷ + 3 .

257953 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (257903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128976 + 128977.

It is an arithmetic number, because the mean of its divisors is an integer number (128977).

2²⁵⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

257953 is a deficient number, since it is larger than the sum of its proper divisors (1).

257953 is an equidigital number, since it uses as much as digits as its factorization.

257953 is an evil number, because the sum of its binary digits is even.

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

The square root of 257953 is about 507.8907362809. The cubic root of 257953 is about 63.6571016517.

The spelling of 257953 in words is "two hundred fifty-seven thousand, nine hundred fifty-three".