87290382 has 64 divisors (see below), whose sum is σ = 189112320. Its totient is φ = 26796000.

The previous prime is 87290381. The next prime is 87290383. The reversal of 87290382 is 28309278.

It is an interprime number because it is at equal distance from previous prime (87290381) and next prime (87290383).

It is a super-2 number, since 2×87290382² = 15239221579411848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 87290382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87290381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578007 + ... + 578157.

It is an arithmetic number, because the mean of its divisors is an integer number (2954880).

Almost surely, 2^87290382 is an apocalyptic number.

87290382 is an abundant number, since it is smaller than the sum of its proper divisors (101821938).

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

87290382 is a wasteful number, since it uses less digits than its factorization.

87290382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 87290382 is about 9342.9321949803. The cubic root of 87290382 is about 443.5972018526.

The spelling of 87290382 in words is "eighty-seven million, two hundred ninety thousand, three hundred eighty-two".