66877 has 2 divisors, whose sum is σ = 66878. Its totient is φ = 66876.

The previous prime is 66863. The next prime is 66883. The reversal of 66877 is 77866.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 29241 = 194^2 + 171^2 .

It is a cyclic number.

It is not a de Polignac number, because 66877 - 2⁷ = 66749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33438 + 33439.

It is an arithmetic number, because the mean of its divisors is an integer number (33439).

2⁶⁶⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

66877 is a deficient number, since it is larger than the sum of its proper divisors (1).

66877 is an equidigital number, since it uses as much as digits as its factorization.

66877 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14112, while the sum is 34.

The square root of 66877 is about 258.6058777368. The cubic root of 66877 is about 40.5906115300.

The spelling of 66877 in words is "sixty-six thousand, eight hundred seventy-seven".