87315137 has 16 divisors (see below), whose sum is σ = 109076352. Its totient is φ = 68048640.

The previous prime is 87315133. The next prime is 87315149. The reversal of 87315137 is 73151378.

It is a cyclic number.

It is not a de Polignac number, because 87315137 - 2² = 87315133 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 87315097 and 87315106.

It is not an unprimeable number, because it can be changed into a prime (87315133) 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 15 ways as a sum of consecutive naturals, for example, 1064 + ... + 13257.

It is an arithmetic number, because the mean of its divisors is an integer number (6817272).

Almost surely, 2^87315137 is an apocalyptic number.

It is an amenable number.

87315137 is a deficient number, since it is larger than the sum of its proper divisors (21761215).

87315137 is a wasteful number, since it uses less digits than its factorization.

87315137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14408.

The product of its digits is 17640, while the sum is 35.

The square root of 87315137 is about 9344.2568992938. The cubic root of 87315137 is about 443.6391316756.

The spelling of 87315137 in words is "eighty-seven million, three hundred fifteen thousand, one hundred thirty-seven".