77967 has 6 divisors (see below), whose sum is σ = 112632. Its totient is φ = 51972.

The previous prime is 77951. The next prime is 77969. The reversal of 77967 is 76977.

It is not a de Polignac number, because 77967 - 2⁴ = 77951 is a prime.

It is a nialpdrome in base 5 and base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77969) 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, 4323 + ... + 4340.

It is an arithmetic number, because the mean of its divisors is an integer number (18772).

2⁷⁷⁹⁶⁷ is an apocalyptic number.

77967 is a deficient number, since it is larger than the sum of its proper divisors (34665).

77967 is a wasteful number, since it uses less digits than its factorization.

77967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8669 (or 8666 counting only the distinct ones).

The product of its digits is 18522, while the sum is 36.

The square root of 77967 is about 279.2257151482. The cubic root of 77967 is about 42.7205604227.

Subtracting from 77967 its reverse (76977), we obtain a triangular number (990 = T₄₄).

The spelling of 77967 in words is "seventy-seven thousand, nine hundred sixty-seven".