89931 has 8 divisors (see below), whose sum is σ = 123904. Its totient is φ = 57960.

The previous prime is 89923. The next prime is 89939. The reversal of 89931 is 13998.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89923) and next prime (89939).

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

It is not a de Polignac number, because 89931 - 2³ = 89923 is a prime.

It is a super-2 number, since 2×89931² = 16175169522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (15488).

2⁸⁹⁹³¹ is an apocalyptic number.

89931 is a deficient number, since it is larger than the sum of its proper divisors (33973).

89931 is a wasteful number, since it uses less digits than its factorization.

89931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001.

The product of its digits is 1944, while the sum is 30.

The square root of 89931 is about 299.8849779499. The cubic root of 89931 is about 44.8025920588.

The spelling of 89931 in words is "eighty-nine thousand, nine hundred thirty-one".