117977 has 2 divisors, whose sum is σ = 117978. Its totient is φ = 117976.

The previous prime is 117973. The next prime is 117979. The reversal of 117977 is 779711.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 52441 = 256^2 + 229^2 .

It is a cyclic number.

It is not a de Polignac number, because 117977 - 2² = 117973 is a prime.

Together with 117979, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 117977.

It is not a weakly prime, because it can be changed into another prime (117973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58988 + 58989.

It is an arithmetic number, because the mean of its divisors is an integer number (58989).

2¹¹⁷⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

117977 is a deficient number, since it is larger than the sum of its proper divisors (1).

117977 is an equidigital number, since it uses as much as digits as its factorization.

117977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3087, while the sum is 32.

The square root of 117977 is about 343.4778013206. The cubic root of 117977 is about 49.0454943294.

The spelling of 117977 in words is "one hundred seventeen thousand, nine hundred seventy-seven".