89253 has 12 divisors (see below), whose sum is σ = 132288. Its totient is φ = 57960.

The previous prime is 89237. The next prime is 89261. The reversal of 89253 is 35298.

89253 is a nontrivial binomial coefficient, being equal to C(423, 2).

It is not a de Polignac number, because 89253 - 2⁴ = 89237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89203) 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, 318 + ... + 528.

It is an arithmetic number, because the mean of its divisors is an integer number (11024).

2⁸⁹²⁵³ is an apocalyptic number.

89253 is the 422-nd triangular number.

It is an amenable number.

89253 is a deficient number, since it is larger than the sum of its proper divisors (43035).

89253 is a wasteful number, since it uses less digits than its factorization.

89253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 89253 is about 298.7524058481. The cubic root of 89253 is about 44.6897173171.

It can be divided in two parts, 8 and 9253, that added together give a cube (9261 = 21³).

The spelling of 89253 in words is "eighty-nine thousand, two hundred fifty-three".