87167 has 4 divisors (see below), whose sum is σ = 88536. Its totient is φ = 85800.

The previous prime is 87151. The next prime is 87179. The reversal of 87167 is 76178.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 87167 - 2⁴ = 87151 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 871 and 67 contains 87167 itself.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 584 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (22134).

2⁸⁷¹⁶⁷ is an apocalyptic number.

87167 is a deficient number, since it is larger than the sum of its proper divisors (1369).

87167 is a wasteful number, since it uses less digits than its factorization.

87167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368.

The product of its digits is 2352, while the sum is 29.

The square root of 87167 is about 295.2405798667. The cubic root of 87167 is about 44.3388100093.

The spelling of 87167 in words is "eighty-seven thousand, one hundred sixty-seven".