85257 has 6 divisors (see below), whose sum is σ = 123162. Its totient is φ = 56832.

The previous prime is 85247. The next prime is 85259. The reversal of 85257 is 75258.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 84681 + 576 = 291^2 + 24^2 .

It is not a de Polignac number, because 85257 - 2⁶ = 85193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85257.

It is not an unprimeable number, because it can be changed into a prime (85259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4728 + ... + 4745.

It is an arithmetic number, because the mean of its divisors is an integer number (20527).

2⁸⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

85257 is a deficient number, since it is larger than the sum of its proper divisors (37905).

85257 is a wasteful number, since it uses less digits than its factorization.

85257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9479 (or 9476 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 85257 is about 291.9880134526. The cubic root of 85257 is about 44.0125652819.

Subtracting from 85257 its reverse (75258), we obtain a palindrome (9999).

It can be divided in two parts, 852 and 57, that added together give a palindrome (909).

The spelling of 85257 in words is "eighty-five thousand, two hundred fifty-seven".