89973 has 12 divisors (see below), whose sum is σ = 140140. Its totient is φ = 55296.

The previous prime is 89963. The next prime is 89977. The reversal of 89973 is 37998.

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 66564 = 153^2 + 258^2 .

It is not a de Polignac number, because 89973 - 2⁶ = 89909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89977) 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, 268 + ... + 501.

2⁸⁹⁹⁷³ is an apocalyptic number.

It is an amenable number.

89973 is a deficient number, since it is larger than the sum of its proper divisors (50167).

89973 is a wasteful number, since it uses less digits than its factorization.

89973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 785 counting only the distinct ones).

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

The square root of 89973 is about 299.9549966245. The cubic root of 89973 is about 44.8095656126.

Adding to 89973 its sum of digits (36), we get a palindrome (90009).

The spelling of 89973 in words is "eighty-nine thousand, nine hundred seventy-three".