7965952 has 54 divisors (see below), whose sum is σ = 16913078. Its totient is φ = 3741696.

The previous prime is 7965949. The next prime is 7966001. The reversal of 7965952 is 2595697.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2876416 + 5089536 = 1696^2 + 2256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7965899 and 7965908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215278 + ... + 215314.

Almost surely, 2^7965952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8456539).

7965952 is an abundant number, since it is smaller than the sum of its proper divisors (8947126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7965952 is an equidigital number, since it uses as much as digits as its factorization.

7965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 68 counting only the distinct ones).

The product of its digits is 170100, while the sum is 43.

The square root of 7965952 is about 2822.4018140584. The cubic root of 7965952 is about 199.7158631892.

The spelling of 7965952 in words is "seven million, nine hundred sixty-five thousand, nine hundred fifty-two".