89288 has 8 divisors (see below), whose sum is σ = 167430. Its totient is φ = 44640.

The previous prime is 89273. The next prime is 89293. The reversal of 89288 is 88298.

It can be written as a sum of positive squares in only one way, i.e., 88804 + 484 = 298^2 + 22^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5573 + ... + 5588.

2⁸⁹²⁸⁸ is an apocalyptic number.

It is an amenable number.

89288 is a deficient number, since it is larger than the sum of its proper divisors (78142).

89288 is a wasteful number, since it uses less digits than its factorization.

89288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11167 (or 11163 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 89288 is about 298.8109770407. The cubic root of 89288 is about 44.6955581504.

Subtracting from 89288 its sum of digits (35), we obtain a triangular number (89253 = T₄₂₂).

Subtracting from 89288 its reverse (88298), we obtain a triangular number (990 = T₄₄).

The spelling of 89288 in words is "eighty-nine thousand, two hundred eighty-eight".