961006977 has 16 divisors (see below), whose sum is σ = 1627102080. Its totient is φ = 549146736.

The previous prime is 961006919. The next prime is 961006987. The reversal of 961006977 is 779600169.

961006977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 961006977 - 2⁸ = 961006721 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (961006987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2542158 + ... + 2542535.

It is an arithmetic number, because the mean of its divisors is an integer number (101693880).

Almost surely, 2^961006977 is an apocalyptic number.

It is an amenable number.

961006977 is a deficient number, since it is larger than the sum of its proper divisors (666095103).

961006977 is a wasteful number, since it uses less digits than its factorization.

961006977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084709 (or 5084703 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 961006977 is about 31000.1125320538. The cubic root of 961006977 is about 986.8296284860.

The spelling of 961006977 in words is "nine hundred sixty-one million, six thousand, nine hundred seventy-seven".