7971607 has 16 divisors (see below), whose sum is σ = 9538560. Its totient is φ = 6517728.

The previous prime is 7971577. The next prime is 7971611. The reversal of 7971607 is 7061797.

It is not a de Polignac number, because 7971607 - 2¹⁵ = 7938839 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 (7971617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21538 + ... + 21904.

It is an arithmetic number, because the mean of its divisors is an integer number (596160).

Almost surely, 2^7971607 is an apocalyptic number.

7971607 is a deficient number, since it is larger than the sum of its proper divisors (1566953).

7971607 is a wasteful number, since it uses less digits than its factorization.

7971607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510.

The product of its (nonzero) digits is 18522, while the sum is 37.

The square root of 7971607 is about 2823.4034426557. The cubic root of 7971607 is about 199.7631111959.

The spelling of 7971607 in words is "seven million, nine hundred seventy-one thousand, six hundred seven".