7971951 has 16 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 4835040.

The previous prime is 7971919. The next prime is 7971959. The reversal of 7971951 is 1591797.

It is not a de Polignac number, because 7971951 - 2⁵ = 7971919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971959) 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, 1330 + ... + 4208.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^7971951 is an apocalyptic number.

7971951 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

7971951 is a deficient number, since it is larger than the sum of its proper divisors (3640209).

7971951 is a wasteful number, since it uses less digits than its factorization.

7971951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966.

The product of its digits is 19845, while the sum is 39.

The square root of 7971951 is about 2823.4643613830. The cubic root of 7971951 is about 199.7659846241.

The spelling of 7971951 in words is "seven million, nine hundred seventy-one thousand, nine hundred fifty-one".