972000001 has 8 divisors (see below), whose sum is σ = 1114156160. Its totient is φ = 830668608.

The previous prime is 971999921. The next prime is 972000017. The reversal of 972000001 is 100000279.

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

It is not a de Polignac number, because 972000001 - 2¹³ = 971991809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972003001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203661 + ... + 208378.

It is an arithmetic number, because the mean of its divisors is an integer number (139269520).

Almost surely, 2^972000001 is an apocalyptic number.

It is an amenable number.

972000001 is a deficient number, since it is larger than the sum of its proper divisors (142156159).

972000001 is a wasteful number, since it uses less digits than its factorization.

972000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412383.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 972000001 is about 31176.9145522773. The cubic root of 972000001 is about 990.5781750081.

The spelling of 972000001 in words is "nine hundred seventy-two million, one", and thus it is an aban number.