962922961 has 81 divisors (see below), whose sum is σ = 1377611739. Its totient is φ = 670269600.

The previous prime is 962922943. The next prime is 962922973. The reversal of 962922961 is 169229269.

The square root of 962922961 is 31031.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 142444225 + 820478736 = 11935^2 + 28644^2 .

It is not a de Polignac number, because 962922961 - 2⁵ = 962922929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (962922911) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31062016 + ... + 31062046.

Almost surely, 2^962922961 is an apocalyptic number.

962922961 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

962922961 is the 31031-st square number.

962922961 is the 15516-th centered octagonal number.

It is an amenable number.

962922961 is a deficient number, since it is larger than the sum of its proper divisors (414688778).

962922961 is a wasteful number, since it uses less digits than its factorization.

962922961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

The product of its digits is 209952, while the sum is 46.

The cubic root of 962922961 is about 987.4850155500.

The spelling of 962922961 in words is "nine hundred sixty-two million, nine hundred twenty-two thousand, nine hundred sixty-one".