97977 has 8 divisors (see below), whose sum is σ = 142560. Its totient is φ = 59360.

The previous prime is 97973. The next prime is 97987. The reversal of 97977 is 77979.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 97977 - 2² = 97973 is a prime.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97977.

It is not an unprimeable number, because it can be changed into a prime (97973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1452 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2⁹⁷⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

97977 is a deficient number, since it is larger than the sum of its proper divisors (44583).

97977 is a wasteful number, since it uses less digits than its factorization.

97977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983.

The product of its digits is 27783, while the sum is 39.

The square root of 97977 is about 313.0127792918. The cubic root of 97977 is about 46.1007558345.

The spelling of 97977 in words is "ninety-seven thousand, nine hundred seventy-seven".