76667 has 2 divisors, whose sum is σ = 76668. Its totient is φ = 76666.

The previous prime is 76651. The next prime is 76673.

76667 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 76667 - 2⁴ = 76651 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (76607) 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 as a sum of consecutive naturals, namely, 38333 + 38334.

It is an arithmetic number, because the mean of its divisors is an integer number (38334).

2⁷⁶⁶⁶⁷ is an apocalyptic number.

76667 is a deficient number, since it is larger than the sum of its proper divisors (1).

76667 is an equidigital number, since it uses as much as digits as its factorization.

76667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 32.

The square root of 76667 is about 276.8880640259. Note that the first 3 decimals coincide. The cubic root of 76667 is about 42.4817915079.

The spelling of 76667 in words is "seventy-six thousand, six hundred sixty-seven".