89775 has 48 divisors (see below), whose sum is σ = 198400. Its totient is φ = 38880.

The previous prime is 89767. The next prime is 89779. The reversal of 89775 is 57798.

89775 = 6³ + 7³ + ... + 24³.

It is not a de Polignac number, because 89775 - 2³ = 89767 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (17640) is a multiple of the sum of its prime factors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4716 + ... + 4734.

2⁸⁹⁷⁷⁵ is an apocalyptic number.

89775 is an abundant number, since it is smaller than the sum of its proper divisors (108625).

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 (99200).

89775 is a wasteful number, since it uses less digits than its factorization.

89775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 34 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 89775 is about 299.6247653316. The cubic root of 89775 is about 44.7766712619.

The spelling of 89775 in words is "eighty-nine thousand, seven hundred seventy-five".