97993813 has 16 divisors (see below), whose sum is σ = 105361200. Its totient is φ = 90961920.

The previous prime is 97993793. The next prime is 97993837. The reversal of 97993813 is 31839979.

It can be written as a sum of positive squares in 8 ways, for example, as 20958084 + 77035729 = 4578^2 + 8777^2 .

It is a cyclic number.

It is not a de Polignac number, because 97993813 - 2⁵ = 97993781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97993613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86233 + ... + 87361.

It is an arithmetic number, because the mean of its divisors is an integer number (6585075).

Almost surely, 2^97993813 is an apocalyptic number.

It is an amenable number.

97993813 is a deficient number, since it is larger than the sum of its proper divisors (7367387).

97993813 is a wasteful number, since it uses less digits than its factorization.

97993813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272.

The product of its digits is 367416, while the sum is 49.

The square root of 97993813 is about 9899.1824409898. The cubic root of 97993813 is about 461.0339266992.

The spelling of 97993813 in words is "ninety-seven million, nine hundred ninety-three thousand, eight hundred thirteen".