77867 has 2 divisors, whose sum is σ = 77868. Its totient is φ = 77866.

The previous prime is 77863. The next prime is 77893. The reversal of 77867 is 76877.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 77867 - 2² = 77863 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (77863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38933 + 38934.

It is an arithmetic number, because the mean of its divisors is an integer number (38934).

2⁷⁷⁸⁶⁷ is an apocalyptic number.

77867 is a deficient number, since it is larger than the sum of its proper divisors (1).

77867 is an equidigital number, since it uses as much as digits as its factorization.

77867 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16464, while the sum is 35.

The square root of 77867 is about 279.0465910919. The cubic root of 77867 is about 42.7022882316.

Subtracting from 77867 its reverse (76877), we obtain a triangular number (990 = T₄₄).

The spelling of 77867 in words is "seventy-seven thousand, eight hundred sixty-seven".