7971261 has 16 divisors (see below), whose sum is σ = 10973760. Its totient is φ = 5143680.

The previous prime is 7971251. The next prime is 7971263. The reversal of 7971261 is 1621797.

It is not a de Polignac number, because 7971261 - 2²² = 3776957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971263) 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, 28026 + ... + 28308.

It is an arithmetic number, because the mean of its divisors is an integer number (685860).

Almost surely, 2^7971261 is an apocalyptic number.

It is an amenable number.

7971261 is a deficient number, since it is larger than the sum of its proper divisors (3002499).

7971261 is a wasteful number, since it uses less digits than its factorization.

7971261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556.

The product of its digits is 5292, while the sum is 33.

The square root of 7971261 is about 2823.3421684238. The cubic root of 7971261 is about 199.7602209783.

The spelling of 7971261 in words is "seven million, nine hundred seventy-one thousand, two hundred sixty-one".