87257313 has 48 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 48384000.

The previous prime is 87257299. The next prime is 87257327. The reversal of 87257313 is 31375278.

87257313 is a `hidden beast` number, since 8 + 72 + 573 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (87257299) and next prime (87257327).

It is not a de Polignac number, because 87257313 - 2⁴ = 87257297 is a prime.

It is a super-2 number, since 2×87257313² = 15227677343959938, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (35280) is a multiple of the sum of its prime factors (630).

It is not an unprimeable number, because it can be changed into a prime (87257353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194113 + ... + 194561.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2^87257313 is an apocalyptic number.

It is an amenable number.

87257313 is a deficient number, since it is larger than the sum of its proper divisors (62128287).

87257313 is a wasteful number, since it uses less digits than its factorization.

87257313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 627 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 87257313 is about 9341.1622938476. The cubic root of 87257313 is about 443.5411774722.

It can be divided in two parts, 872 and 57313, that added together give a palindrome (58185).

The spelling of 87257313 in words is "eighty-seven million, two hundred fifty-seven thousand, three hundred thirteen".