87579 has 12 divisors (see below), whose sum is σ = 130416. Its totient is φ = 56592.

The previous prime is 87559. The next prime is 87583. The reversal of 87579 is 97578.

87579 is a `hidden beast` number, since 87 + 579 = 666.

It is not a de Polignac number, because 87579 - 2⁵ = 87547 is a prime.

87579 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (10868).

2⁸⁷⁵⁷⁹ is an apocalyptic number.

87579 is a deficient number, since it is larger than the sum of its proper divisors (42837).

87579 is a wasteful number, since it uses less digits than its factorization.

87579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 303 counting only the distinct ones).

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

The square root of 87579 is about 295.9374934002. The cubic root of 87579 is about 44.4085569093.

Subtracting 87579 from its reverse (97578), we obtain a palindrome (9999).

It can be divided in two parts, 87 and 579, that added together give a palindrome (666).

The spelling of 87579 in words is "eighty-seven thousand, five hundred seventy-nine".