9240972001 has 16 divisors (see below), whose sum is σ = 9846498816. Its totient is φ = 8658000000.

The previous prime is 9240971989. The next prime is 9240972029. The reversal of 9240972001 is 1002790429.

It is a happy number.

It is a 2-Lehmer number, since φ(9240972001) divides (9240972001-1)².

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 9240972001 - 2⁹ = 9240971489 is a prime.

It is a deceptive number, since it divides R_9240972000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9240972071) 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, 138751 + ... + 194251.

It is an arithmetic number, because the mean of its divisors is an integer number (615406176).

It is a Poulet number, since it divides 2^9240972000-1.

Almost surely, 2^9240972001 is an apocalyptic number.

9240972001 is the 55501-st octagonal number.

It is an amenable number.

9240972001 is a deficient number, since it is larger than the sum of its proper divisors (605526815).

9240972001 is a wasteful number, since it uses less digits than its factorization.

9240972001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55704.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 9240972001 is about 96129.9745188773. The cubic root of 9240972001 is about 2098.4850752832.

The spelling of 9240972001 in words is "nine billion, two hundred forty million, nine hundred seventy-two thousand, one".