7991965 has 8 divisors (see below), whose sum is σ = 9921240. Its totient is φ = 6172992.

The previous prime is 7991957. The next prime is 7991981. The reversal of 7991965 is 5691997.

It can be written as a sum of positive squares in 4 ways, for example, as 2893401 + 5098564 = 1701^2 + 2258^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7991965 - 2³ = 7991957 is a prime.

It is a super-2 number, since 2×7991965² = 127743009122450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27414 + ... + 27703.

It is an arithmetic number, because the mean of its divisors is an integer number (1240155).

Almost surely, 2^7991965 is an apocalyptic number.

It is an amenable number.

7991965 is a deficient number, since it is larger than the sum of its proper divisors (1929275).

7991965 is a wasteful number, since it uses less digits than its factorization.

7991965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55151.

The product of its digits is 153090, while the sum is 46.

The square root of 7991965 is about 2827.0063671665. The cubic root of 7991965 is about 199.9330192371.

Subtracting from 7991965 its reverse (5691997), we obtain a cube (2299968 = 132³).

The spelling of 7991965 in words is "seven million, nine hundred ninety-one thousand, nine hundred sixty-five".