89052 has 24 divisors (see below), whose sum is σ = 214032. Its totient is φ = 28800.

The previous prime is 89051. The next prime is 89057. The reversal of 89052 is 25098.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89052.

It is not an unprimeable number, because it can be changed into a prime (89051) 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, 402 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (8918).

2⁸⁹⁰⁵² is an apocalyptic number.

89052 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

89052 is an abundant number, since it is smaller than the sum of its proper divisors (124980).

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 (107016).

89052 is a wasteful number, since it uses less digits than its factorization.

89052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 89052 is about 298.4158172752. The cubic root of 89052 is about 44.6561446466.

The spelling of 89052 in words is "eighty-nine thousand, fifty-two".