87085713 has 32 divisors (see below), whose sum is σ = 144450432. Its totient is φ = 45849600.

The previous prime is 87085709. The next prime is 87085741. The reversal of 87085713 is 31758078.

It is not a de Polignac number, because 87085713 - 2² = 87085709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (87085703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1323 + ... + 13263.

It is an arithmetic number, because the mean of its divisors is an integer number (4514076).

Almost surely, 2^87085713 is an apocalyptic number.

It is an amenable number.

87085713 is a deficient number, since it is larger than the sum of its proper divisors (57364719).

87085713 is a wasteful number, since it uses less digits than its factorization.

87085713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11985.

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 87085713 is about 9331.9726210486. The cubic root of 87085713 is about 443.2502310300.

The spelling of 87085713 in words is "eighty-seven million, eighty-five thousand, seven hundred thirteen".