961248001 has 32 divisors (see below), whose sum is σ = 1143014400. Its totient is φ = 791519040.

The previous prime is 961247953. The next prime is 961248047. The reversal of 961248001 is 100842169.

It is a happy number.

961248001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 961248001 - 2⁷ = 961247873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (961248061) 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, 5897146 + ... + 5897308.

It is an arithmetic number, because the mean of its divisors is an integer number (35719200).

Almost surely, 2^961248001 is an apocalyptic number.

It is an amenable number.

961248001 is a deficient number, since it is larger than the sum of its proper divisors (181766399).

961248001 is a wasteful number, since it uses less digits than its factorization.

961248001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 961248001 is about 31003.9997580957. Note that the first 3 decimals coincide. The cubic root of 961248001 is about 986.9121217277.

The spelling of 961248001 in words is "nine hundred sixty-one million, two hundred forty-eight thousand, one".