87567 has 12 divisors (see below), whose sum is σ = 125256. Its totient is φ = 54400.

The previous prime is 87559. The next prime is 87583. The reversal of 87567 is 76578.

It is not a de Polignac number, because 87567 - 2³ = 87559 is a prime.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 817 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (10438).

2⁸⁷⁵⁶⁷ is an apocalyptic number.

87567 is a deficient number, since it is larger than the sum of its proper divisors (37689).

87567 is a wasteful number, since it uses less digits than its factorization.

87567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 87567 is about 295.9172181540. The cubic root of 87567 is about 44.4065285425.

The spelling of 87567 in words is "eighty-seven thousand, five hundred sixty-seven".