65257 has 2 divisors, whose sum is σ = 65258. Its totient is φ = 65256.

The previous prime is 65239. The next prime is 65267. The reversal of 65257 is 75256.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44521 + 20736 = 211^2 + 144^2 .

It is a cyclic number.

It is not a de Polignac number, because 65257 - 2⁷ = 65129 is a prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (65267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32628 + 32629.

It is an arithmetic number, because the mean of its divisors is an integer number (32629).

2⁶⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

65257 is a deficient number, since it is larger than the sum of its proper divisors (1).

65257 is an equidigital number, since it uses as much as digits as its factorization.

65257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2100, while the sum is 25.

The square root of 65257 is about 255.4544969266. The cubic root of 65257 is about 40.2601790029.

Subtracting 65257 from its reverse (75256), we obtain a palindrome (9999).

The spelling of 65257 in words is "sixty-five thousand, two hundred fifty-seven".