87633315 has 72 divisors (see below), whose sum is σ = 192814128. Its totient is φ = 36408960.

The previous prime is 87633313. The next prime is 87633341. The reversal of 87633315 is 51333678.

87633315 is a `hidden beast` number, since 8 + 7 + 633 + 3 + 15 = 666.

It is not a de Polignac number, because 87633315 - 2¹ = 87633313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87633315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87633313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22449 + ... + 26061.

It is an arithmetic number, because the mean of its divisors is an integer number (2677974).

Almost surely, 2^87633315 is an apocalyptic number.

87633315 is an abundant number, since it is smaller than the sum of its proper divisors (105180813).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87633315 is a wasteful number, since it uses less digits than its factorization.

87633315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3639 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 87633315 is about 9361.2667412055. The cubic root of 87633315 is about 444.1773548831.

It can be divided in two parts, 876 and 33315, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 87633315 in words is "eighty-seven million, six hundred thirty-three thousand, three hundred fifteen".