97957 has 4 divisors (see below), whose sum is σ = 102240. Its totient is φ = 93676.

The previous prime is 97943. The next prime is 97961. The reversal of 97957 is 75979.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 97957 - 2⁷ = 97829 is a prime.

It is a Duffinian number.

97957 is a lucky number.

It is a plaindrome in base 14.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2107 + ... + 2152.

It is an arithmetic number, because the mean of its divisors is an integer number (25560).

2⁹⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

97957 is a deficient number, since it is larger than the sum of its proper divisors (4283).

97957 is a wasteful number, since it uses less digits than its factorization.

97957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282.

The product of its digits is 19845, while the sum is 37.

The square root of 97957 is about 312.9808300839. The cubic root of 97957 is about 46.0976187790.

It can be divided in two parts, 97 and 957, that multiplied together give a palindrome (92829).

The spelling of 97957 in words is "ninety-seven thousand, nine hundred fifty-seven".