961373952 has 216 divisors, whose sum is σ = 3456485760. Its totient is φ = 249661440.

The previous prime is 961373947. The next prime is 961373981. The reversal of 961373952 is 259373169.

It is a junction number, because it is equal to n+sod(n) for n = 961373898 and 961373907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174699 + ... + 180117.

Almost surely, 2^961373952 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 961373952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728242880).

961373952 is an abundant number, since it is smaller than the sum of its proper divisors (2495111808).

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

961373952 is a wasteful number, since it uses less digits than its factorization.

961373952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5442 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 961373952 is about 31006.0308972303. The cubic root of 961373952 is about 986.9552244233.

The spelling of 961373952 in words is "nine hundred sixty-one million, three hundred seventy-three thousand, nine hundred fifty-two".