89562 has 32 divisors (see below), whose sum is σ = 207360. Its totient is φ = 25520.

The previous prime is 89561. The next prime is 89563. The reversal of 89562 is 26598.

It is an interprime number because it is at equal distance from previous prime (89561) and next prime (89563).

It is not an unprimeable number, because it can be changed into a prime (89561) 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 15 ways as a sum of consecutive naturals, for example, 1489 + ... + 1547.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁸⁹⁵⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

89562 is an abundant number, since it is smaller than the sum of its proper divisors (117798).

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

89562 is a wasteful number, since it uses less digits than its factorization.

89562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98.

The product of its digits is 4320, while the sum is 30.

The square root of 89562 is about 299.2691096655. The cubic root of 89562 is about 44.7412308691.

The spelling of 89562 in words is "eighty-nine thousand, five hundred sixty-two".