87165952 has 44 divisors (see below), whose sum is σ = 181871856. Its totient is φ = 41676800.

The previous prime is 87165943. The next prime is 87165961. The reversal of 87165952 is 25956178.

It is an interprime number because it is at equal distance from previous prime (87165943) and next prime (87165961).

It is a junction number, because it is equal to n+sod(n) for n = 87165899 and 87165908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21702 + ... + 25402.

Almost surely, 2^87165952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90935928).

87165952 is an abundant number, since it is smaller than the sum of its proper divisors (94705904).

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

87165952 is a wasteful number, since it uses less digits than its factorization.

87165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3726 counting only the distinct ones).

The product of its digits is 151200, while the sum is 43.

The square root of 87165952 is about 9336.2707758505. The cubic root of 87165952 is about 443.3863231489.

The spelling of 87165952 in words is "eighty-seven million, one hundred sixty-five thousand, nine hundred fifty-two".