35257 has 2 divisors, whose sum is σ = 35258. Its totient is φ = 35256.

The previous prime is 35251. The next prime is 35267. The reversal of 35257 is 75253.

35257 is nontrivially palindromic in base 11.

35257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19881 + 15376 = 141^2 + 124^2 .

It is an emirp because it is prime and its reverse (75253) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35257 - 2⁷ = 35129 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35257.

It is not a weakly prime, because it can be changed into another prime (35251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17628 + 17629.

It is an arithmetic number, because the mean of its divisors is an integer number (17629).

2³⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

35257 is a deficient number, since it is larger than the sum of its proper divisors (1).

35257 is an equidigital number, since it uses as much as digits as its factorization.

35257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1050, while the sum is 22.

The square root of 35257 is about 187.7684744572. The cubic root of 35257 is about 32.7905311752.

It can be divided in two parts, 35 and 257, that added together give a palindrome (292).

The spelling of 35257 in words is "thirty-five thousand, two hundred fifty-seven".