87121524 has 48 divisors (see below), whose sum is σ = 236275200. Its totient is φ = 24468576.

The previous prime is 87121523. The next prime is 87121553. The reversal of 87121524 is 42512178.

87121524 = T₄₃₂ + T₄₃₃ + ... + T₈₄₄.

It is a junction number, because it is equal to n+sod(n) for n = 87121491 and 87121500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87121523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3834 + ... + 13745.

It is an arithmetic number, because the mean of its divisors is an integer number (4922400).

Almost surely, 2^87121524 is an apocalyptic number.

87121524 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87121524 is an abundant number, since it is smaller than the sum of its proper divisors (149153676).

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

87121524 is a wasteful number, since it uses less digits than its factorization.

87121524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17652 (or 17650 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 87121524 is about 9333.8911499974. The cubic root of 87121524 is about 443.3109798341.

The spelling of 87121524 in words is "eighty-seven million, one hundred twenty-one thousand, five hundred twenty-four".