87813972 has 108 divisors (see below), whose sum is σ = 243390420. Its totient is φ = 26659584.

The previous prime is 87813967. The next prime is 87814021. The reversal of 87813972 is 27931878.

It can be written as a sum of positive squares in 2 ways, for example, as 31203396 + 56610576 = 5586^2 + 7524^2 .

It is a super-2 number, since 2×87813972² = 15422587356833568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376768 + ... + 377000.

It is an arithmetic number, because the mean of its divisors is an integer number (2253615).

Almost surely, 2^87813972 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 87813972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121695210).

87813972 is an abundant number, since it is smaller than the sum of its proper divisors (155576448).

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

87813972 is a wasteful number, since it uses less digits than its factorization.

87813972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 87813972 is about 9370.9109482483. The cubic root of 87813972 is about 444.4823708098.

The spelling of 87813972 in words is "eighty-seven million, eight hundred thirteen thousand, nine hundred seventy-two".