89144 has 16 divisors (see below), whose sum is σ = 182520. Its totient is φ = 40480.

The previous prime is 89137. The next prime is 89153. The reversal of 89144 is 44198.

89144 = 67² + 68² + ... + 82².

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 89144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 419 + ... + 594.

2⁸⁹¹⁴⁴ is an apocalyptic number.

It is an amenable number.

89144 is an abundant number, since it is smaller than the sum of its proper divisors (93376).

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 (91260).

89144 is a wasteful number, since it uses less digits than its factorization.

89144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1026 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 89144 is about 298.5699248082. The cubic root of 89144 is about 44.6715175049.

It can be divided in two parts, 891 and 44, that multiplied together give a square (39204 = 198²).

The spelling of 89144 in words is "eighty-nine thousand, one hundred forty-four".