89131 has 12 divisors (see below), whose sum is σ = 110808. Its totient is φ = 71232.

The previous prime is 89123. The next prime is 89137. The reversal of 89131 is 13198.

It is not a de Polignac number, because 89131 - 2³ = 89123 is a prime.

It is a super-2 number, since 2×89131² = 15888670322, which contains 22 as substring.

It is a Duffinian number.

89131 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (89137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780 + ... + 886.

It is an arithmetic number, because the mean of its divisors is an integer number (9234).

2⁸⁹¹³¹ is an apocalyptic number.

89131 is a deficient number, since it is larger than the sum of its proper divisors (21677).

89131 is a wasteful number, since it uses less digits than its factorization.

89131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its digits is 216, while the sum is 22.

The square root of 89131 is about 298.5481535699. The cubic root of 89131 is about 44.6693458951.

The spelling of 89131 in words is "eighty-nine thousand, one hundred thirty-one".