89292 has 24 divisors (see below), whose sum is σ = 238336. Its totient is φ = 25488.

The previous prime is 89273. The next prime is 89293. The reversal of 89292 is 29298.

It is a super-2 number, since 2×89292² = 15946122528, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89293) 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, 448 + ... + 615.

2⁸⁹²⁹² is an apocalyptic number.

It is an amenable number.

89292 is an abundant number, since it is smaller than the sum of its proper divisors (149044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119168).

89292 is a wasteful number, since it uses less digits than its factorization.

89292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1075 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 89292 is about 298.8176701603. The cubic root of 89292 is about 44.6962255770.

The spelling of 89292 in words is "eighty-nine thousand, two hundred ninety-two".