7997564 has 12 divisors (see below), whose sum is σ = 14089488. Its totient is φ = 3972000.

The previous prime is 7997557. The next prime is 7997579. The reversal of 7997564 is 4657997.

It is a super-2 number, since 2×7997564² = 127922059868192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6017 + ... + 7224.

It is an arithmetic number, because the mean of its divisors is an integer number (1174124).

Almost surely, 2^7997564 is an apocalyptic number.

It is an amenable number.

7997564 is a deficient number, since it is larger than the sum of its proper divisors (6091924).

7997564 is a wasteful number, since it uses less digits than its factorization.

7997564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13396 (or 13394 counting only the distinct ones).

The product of its digits is 476280, while the sum is 47.

The square root of 7997564 is about 2827.9964639299. The cubic root of 7997564 is about 199.9796979392.

It can be divided in two parts, 79975 and 64, that multiplied together give a triangular number (5118400 = T₃₁₉₉).

The spelling of 7997564 in words is "seven million, nine hundred ninety-seven thousand, five hundred sixty-four".