7971993 has 8 divisors (see below), whose sum is σ = 11810400. Its totient is φ = 5314644.

The previous prime is 7971973. The next prime is 7972009. The reversal of 7971993 is 3991797.

It is not a de Polignac number, because 7971993 - 2⁸ = 7971737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7971913) 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, 147603 + ... + 147656.

It is an arithmetic number, because the mean of its divisors is an integer number (1476300).

Almost surely, 2^7971993 is an apocalyptic number.

It is an amenable number.

7971993 is a deficient number, since it is larger than the sum of its proper divisors (3838407).

7971993 is a wasteful number, since it uses less digits than its factorization.

7971993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295268 (or 295262 counting only the distinct ones).

The product of its digits is 107163, while the sum is 45.

The square root of 7971993 is about 2823.4717990446. The cubic root of 7971993 is about 199.7663354440.

The spelling of 7971993 in words is "seven million, nine hundred seventy-one thousand, nine hundred ninety-three".