87315811 has 32 divisors (see below), whose sum is σ = 104428800. Its totient is φ = 72161280.

The previous prime is 87315803. The next prime is 87315847. The reversal of 87315811 is 11851378.

It is a 11-Lehmer number, since φ(87315811) divides (87315811-1)¹¹.

It is a cyclic number.

It is not a de Polignac number, because 87315811 - 2³ = 87315803 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87315311) 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 31 ways as a sum of consecutive naturals, for example, 900115 + ... + 900211.

It is an arithmetic number, because the mean of its divisors is an integer number (3263400).

Almost surely, 2^87315811 is an apocalyptic number.

87315811 is a deficient number, since it is larger than the sum of its proper divisors (17112989).

87315811 is a wasteful number, since it uses less digits than its factorization.

87315811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259.

The product of its digits is 6720, while the sum is 34.

The square root of 87315811 is about 9344.2929641573. The cubic root of 87315811 is about 443.6402731807.

The spelling of 87315811 in words is "eighty-seven million, three hundred fifteen thousand, eight hundred eleven".