7972797 has 32 divisors (see below), whose sum is σ = 12918784. Its totient is φ = 4276800.

The previous prime is 7972781. The next prime is 7972817.

It is a happy number.

7972797 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7972797 - 2⁴ = 7972781 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 (7972777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23922 + ... + 24252.

It is an arithmetic number, because the mean of its divisors is an integer number (403712).

Almost surely, 2^7972797 is an apocalyptic number.

It is an amenable number.

7972797 is a deficient number, since it is larger than the sum of its proper divisors (4945987).

7972797 is a wasteful number, since it uses less digits than its factorization.

7972797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409.

The product of its digits is 388962, while the sum is 48.

The square root of 7972797 is about 2823.6141733601. The cubic root of 7972797 is about 199.7730509013.

The spelling of 7972797 in words is "seven million, nine hundred seventy-two thousand, seven hundred ninety-seven".