9961731 has 32 divisors (see below), whose sum is σ = 16107840. Its totient is φ = 6048000.

The previous prime is 9961723. The next prime is 9961733. The reversal of 9961731 is 1371699.

9961731 is a `hidden beast` number, since 9 + 9 + 617 + 31 = 666.

It is not a de Polignac number, because 9961731 - 2³ = 9961723 is a prime.

It is a super-2 number, since 2×9961731² = 198472169032722, which contains 22 as substring.

9961731 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9961733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35311 + ... + 35591.

It is an arithmetic number, because the mean of its divisors is an integer number (503370).

Almost surely, 2^9961731 is an apocalyptic number.

9961731 is a deficient number, since it is larger than the sum of its proper divisors (6146109).

9961731 is a wasteful number, since it uses less digits than its factorization.

9961731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 9961731 is about 3156.2209998668. The cubic root of 9961731 is about 215.1682908071.

The spelling of 9961731 in words is "nine million, nine hundred sixty-one thousand, seven hundred thirty-one".