77977 has 2 divisors, whose sum is σ = 77978. Its totient is φ = 77976.

The previous prime is 77969. The next prime is 77983.

77977 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 8281 = 264^2 + 91^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 77977 - 2³ = 77969 is a prime.

It is not a weakly prime, because it can be changed into another prime (77377) 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, 38988 + 38989.

It is an arithmetic number, because the mean of its divisors is an integer number (38989).

2⁷⁷⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

77977 is a deficient number, since it is larger than the sum of its proper divisors (1).

77977 is an equidigital number, since it uses as much as digits as its factorization.

77977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21609, while the sum is 37.

The square root of 77977 is about 279.2436212342. The cubic root of 77977 is about 42.7223867823.

The spelling of 77977 in words is "seventy-seven thousand, nine hundred seventy-seven".