88577 has 4 divisors (see below), whose sum is σ = 89556. Its totient is φ = 87600.

The previous prime is 88547. The next prime is 88589. The reversal of 88577 is 77588.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 7921 = 284^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 88577 - 2⁶ = 88513 is a prime.

It is a Duffinian number.

It is a plaindrome in base 3 and base 9.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (88547) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 338 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (22389).

It is a Proth number, since it is equal to 173 ⋅ 2⁹ + 1 and 173 < 2⁹.

2⁸⁸⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

88577 is a deficient number, since it is larger than the sum of its proper divisors (979).

88577 is a wasteful number, since it uses less digits than its factorization.

88577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978.

The product of its digits is 15680, while the sum is 35.

The square root of 88577 is about 297.6188838095. The cubic root of 88577 is about 44.5766049958.

The spelling of 88577 in words is "eighty-eight thousand, five hundred seventy-seven".