87295131 has 64 divisors (see below), whose sum is σ = 162816000. Its totient is φ = 44906400.

The previous prime is 87295129. The next prime is 87295141. The reversal of 87295131 is 13159278.

It is not a de Polignac number, because 87295131 - 2¹ = 87295129 is a prime.

It is a super-2 number, since 2×87295131² = 15240879792614322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87295111) 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 63 ways as a sum of consecutive naturals, for example, 413616 + ... + 413826.

It is an arithmetic number, because the mean of its divisors is an integer number (2544000).

Almost surely, 2^87295131 is an apocalyptic number.

87295131 is a deficient number, since it is larger than the sum of its proper divisors (75520869).

87295131 is a wasteful number, since it uses less digits than its factorization.

87295131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 87295131 is about 9343.1863408582. The cubic root of 87295131 is about 443.6052462856.

The spelling of 87295131 in words is "eighty-seven million, two hundred ninety-five thousand, one hundred thirty-one".