961962952 has 64 divisors (see below), whose sum is σ = 1951888320. Its totient is φ = 442810368.

The previous prime is 961962943. The next prime is 961962977. The reversal of 961962952 is 259269169.

961962952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 961962896 and 961962905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758343 + ... + 1758889.

It is an arithmetic number, because the mean of its divisors is an integer number (30498255).

Almost surely, 2^961962952 is an apocalyptic number.

It is an amenable number.

961962952 is an abundant number, since it is smaller than the sum of its proper divisors (989925368).

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

961962952 is a wasteful number, since it uses less digits than its factorization.

961962952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its digits is 524880, while the sum is 49.

The square root of 961962952 is about 31015.5275950612. The cubic root of 961962952 is about 987.1567408568.

The spelling of 961962952 in words is "nine hundred sixty-one million, nine hundred sixty-two thousand, nine hundred fifty-two".