7972567 has 4 divisors (see below), whose sum is σ = 7980336. Its totient is φ = 7964800.

The previous prime is 7972553. The next prime is 7972577. The reversal of 7972567 is 7652797.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7972567 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 (7972577) 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, 2059 + ... + 4492.

It is an arithmetic number, because the mean of its divisors is an integer number (1995084).

Almost surely, 2^7972567 is an apocalyptic number.

7972567 is a deficient number, since it is larger than the sum of its proper divisors (7769).

7972567 is a wasteful number, since it uses less digits than its factorization.

7972567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7768.

The product of its digits is 185220, while the sum is 43.

The square root of 7972567 is about 2823.5734451223. The cubic root of 7972567 is about 199.7711298589.

It can be divided in two parts, 797 and 2567, that added together give a square (3364 = 58²).

The spelling of 7972567 in words is "seven million, nine hundred seventy-two thousand, five hundred sixty-seven".