63257 has 6 divisors (see below), whose sum is σ = 68094. Its totient is φ = 58560.

The previous prime is 63247. The next prime is 63277. The reversal of 63257 is 75236.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 63001 = 16^2 + 251^2 .

It is not a de Polignac number, because 63257 - 2⁴ = 63241 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63257.

It is not an unprimeable number, because it can be changed into a prime (63247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1007 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (11349).

2⁶³²⁵⁷ is an apocalyptic number.

It is an amenable number.

63257 is a deficient number, since it is larger than the sum of its proper divisors (4837).

63257 is an equidigital number, since it uses as much as digits as its factorization.

63257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 78 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 63257 is about 251.5094431627. The cubic root of 63257 is about 39.8446054283.

The spelling of 63257 in words is "sixty-three thousand, two hundred fifty-seven".