7971953 has 4 divisors (see below), whose sum is σ = 8696688. Its totient is φ = 7247220.

The previous prime is 7971919. The next prime is 7971959. The reversal of 7971953 is 3591797.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 7971953 - 2¹⁴ = 7955569 is a prime.

It is a super-4 number, since 4×7971953⁴ (a number of 29 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7971953.

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 3 ways as a sum of consecutive naturals, for example, 362351 + ... + 362372.

It is an arithmetic number, because the mean of its divisors is an integer number (2174172).

Almost surely, 2^7971953 is an apocalyptic number.

It is an amenable number.

7971953 is a deficient number, since it is larger than the sum of its proper divisors (724735).

7971953 is a wasteful number, since it uses less digits than its factorization.

7971953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724734.

The product of its digits is 59535, while the sum is 41.

The square root of 7971953 is about 2823.4647155578. The cubic root of 7971953 is about 199.7660013299.

The spelling of 7971953 in words is "seven million, nine hundred seventy-one thousand, nine hundred fifty-three".