88521 has 8 divisors (see below), whose sum is σ = 124320. Its totient is φ = 55872.

The previous prime is 88513. The next prime is 88523. The reversal of 88521 is 12588.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 88521 - 2³ = 88513 is a prime.

It is a Curzon number.

88521 is a lucky number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88491 and 88500.

It is not an unprimeable number, because it can be changed into a prime (88523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (15540).

2⁸⁸⁵²¹ is an apocalyptic number.

It is an amenable number.

88521 is a deficient number, since it is larger than the sum of its proper divisors (35799).

88521 is a wasteful number, since it uses less digits than its factorization.

88521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575.

The product of its digits is 640, while the sum is 24.

The square root of 88521 is about 297.5247888832. The cubic root of 88521 is about 44.5672089670.

The spelling of 88521 in words is "eighty-eight thousand, five hundred twenty-one".