8007233961 has 32 divisors (see below), whose sum is σ = 11220768000. Its totient is φ = 5069427968.

The previous prime is 8007233947. The next prime is 8007233977. The reversal of 8007233961 is 1693327008.

It is a cyclic number.

It is not a de Polignac number, because 8007233961 - 2⁵ = 8007233929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8007231961) 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 31 ways as a sum of consecutive naturals, for example, 7219675 + ... + 7220783.

It is an arithmetic number, because the mean of its divisors is an integer number (350649000).

Almost surely, 2^8007233961 is an apocalyptic number.

It is an amenable number.

8007233961 is a deficient number, since it is larger than the sum of its proper divisors (3213534039).

8007233961 is a wasteful number, since it uses less digits than its factorization.

8007233961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 8007233961 is about 89483.1490337706. The cubic root of 8007233961 is about 2000.6026484725.

The spelling of 8007233961 in words is "eight billion, seven million, two hundred thirty-three thousand, nine hundred sixty-one".