66977 has 2 divisors, whose sum is σ = 66978. Its totient is φ = 66976.

The previous prime is 66973. The next prime is 67003. The reversal of 66977 is 77966.

66977 = 13⁴ + 14⁴.

66977 is nontrivially palindromic in base 14.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 28561 = 196^2 + 169^2 .

It is a cyclic number.

It is not a de Polignac number, because 66977 - 2² = 66973 is a prime.

It is a Chen prime.

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66977.

It is not a weakly prime, because it can be changed into another prime (66973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33488 + 33489.

It is an arithmetic number, because the mean of its divisors is an integer number (33489).

2⁶⁶⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

66977 is a deficient number, since it is larger than the sum of its proper divisors (1).

66977 is an equidigital number, since it uses as much as digits as its factorization.

66977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15876, while the sum is 35.

The square root of 66977 is about 258.7991499213. The cubic root of 66977 is about 40.6108329299.

The spelling of 66977 in words is "sixty-six thousand, nine hundred seventy-seven".