87577 has 4 divisors (see below), whose sum is σ = 100096. Its totient is φ = 75060.

The previous prime is 87559. The next prime is 87583. The reversal of 87577 is 77578.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-87577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87517) 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, 6249 + ... + 6262.

It is an arithmetic number, because the mean of its divisors is an integer number (25024).

2⁸⁷⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

87577 is a deficient number, since it is larger than the sum of its proper divisors (12519).

87577 is a wasteful number, since it uses less digits than its factorization.

87577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12518.

The product of its digits is 13720, while the sum is 34.

The square root of 87577 is about 295.9341142890. The cubic root of 87577 is about 44.4082188611.

Subtracting from 87577 its reverse (77578), we obtain a palindrome (9999).

The spelling of 87577 in words is "eighty-seven thousand, five hundred seventy-seven".