87967 has 6 divisors (see below), whose sum is σ = 96824. Its totient is φ = 79860.

The previous prime is 87961. The next prime is 87973. The reversal of 87967 is 76978.

It is an interprime number because it is at equal distance from previous prime (87961) and next prime (87973).

It is not a de Polignac number, because 87967 - 2³ = 87959 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 243 + ... + 484.

2⁸⁷⁹⁶⁷ is an apocalyptic number.

87967 is a deficient number, since it is larger than the sum of its proper divisors (8857).

87967 is a wasteful number, since it uses less digits than its factorization.

87967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 87967 is about 296.5923127797. The cubic root of 87967 is about 44.4740411660.

It can be divided in two parts, 879 and 67, that added together give a triangular number (946 = T₄₃).

The spelling of 87967 in words is "eighty-seven thousand, nine hundred sixty-seven".