909972001 has 2 divisors, whose sum is σ = 909972002. Its totient is φ = 909972000.

The previous prime is 909971989. The next prime is 909972013. The reversal of 909972001 is 100279909.

It is a balanced prime because it is at equal distance from previous prime (909971989) and next prime (909972013).

It can be written as a sum of positive squares in only one way, i.e., 606341376 + 303630625 = 24624^2 + 17425^2 .

It is a cyclic number.

It is not a de Polignac number, because 909972001 - 2²³ = 901583393 is a prime.

It is a super-3 number, since 3×909972001³ (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (909972061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 454986000 + 454986001.

It is an arithmetic number, because the mean of its divisors is an integer number (454986001).

Almost surely, 2^909972001 is an apocalyptic number.

It is an amenable number.

909972001 is a deficient number, since it is larger than the sum of its proper divisors (1).

909972001 is an equidigital number, since it uses as much as digits as its factorization.

909972001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 37.

The square root of 909972001 is about 30165.7421755209. The cubic root of 909972001 is about 969.0421696004.

The spelling of 909972001 in words is "nine hundred nine million, nine hundred seventy-two thousand, one".