1031072961 has 8 divisors (see below), whose sum is σ = 1408294944. Its totient is φ = 670616480.

The previous prime is 1031072953. The next prime is 1031073011. The reversal of 1031072961 is 1692701301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1031072961 - 2³ = 1031072953 is a prime.

It is a super-2 number, since 2×1031072961² = 2126222901810615042, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1031072941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4191231 + ... + 4191476.

It is an arithmetic number, because the mean of its divisors is an integer number (176036868).

Almost surely, 2^1031072961 is an apocalyptic number.

It is an amenable number.

1031072961 is a deficient number, since it is larger than the sum of its proper divisors (377221983).

1031072961 is an equidigital number, since it uses as much as digits as its factorization.

1031072961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382751.

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1031072961 is about 32110.3248348565. The cubic root of 1031072961 is about 1010.2521871323.

The spelling of 1031072961 in words is "one billion, thirty-one million, seventy-two thousand, nine hundred sixty-one".