84977 has 2 divisors, whose sum is σ = 84978. Its totient is φ = 84976.

The previous prime is 84967. The next prime is 84979. The reversal of 84977 is 77948.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58081 + 26896 = 241^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 84977 - 2⁴ = 84961 is a prime.

Together with 84979, 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 84977.

It is not a weakly prime, because it can be changed into another prime (84979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42488 + 42489.

It is an arithmetic number, because the mean of its divisors is an integer number (42489).

2⁸⁴⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

84977 is a deficient number, since it is larger than the sum of its proper divisors (1).

84977 is an equidigital number, since it uses as much as digits as its factorization.

84977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14112, while the sum is 35.

The square root of 84977 is about 291.5081473990. The cubic root of 84977 is about 43.9643305959.

The spelling of 84977 in words is "eighty-four thousand, nine hundred seventy-seven".