89937 has 8 divisors (see below), whose sum is σ = 133280. Its totient is φ = 59940.

The previous prime is 89923. The next prime is 89939. The reversal of 89937 is 73998.

89937 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 89937 - 2⁷ = 89809 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89937.

It is not an unprimeable number, because it can be changed into a prime (89939) 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, 1639 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (16660).

2⁸⁹⁹³⁷ is an apocalyptic number.

It is an amenable number.

89937 is a deficient number, since it is larger than the sum of its proper divisors (43343).

89937 is a wasteful number, since it uses less digits than its factorization.

89937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3334 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 89937 is about 299.8949816186. The cubic root of 89937 is about 44.8035884137.

The spelling of 89937 in words is "eighty-nine thousand, nine hundred thirty-seven".