972105601 has 8 divisors (see below), whose sum is σ = 995234240. Its totient is φ = 949000752.

The previous prime is 972105587. The next prime is 972105619. The reversal of 972105601 is 106501279.

972105601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 972105601 - 2⁷ = 972105473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972105661) 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, 97996 + ... + 107458.

It is an arithmetic number, because the mean of its divisors is an integer number (124404280).

Almost surely, 2^972105601 is an apocalyptic number.

It is an amenable number.

972105601 is a deficient number, since it is larger than the sum of its proper divisors (23128639).

972105601 is a wasteful number, since it uses less digits than its factorization.

972105601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 972105601 is about 31178.6080670706. The cubic root of 972105601 is about 990.6140464989.

The spelling of 972105601 in words is "nine hundred seventy-two million, one hundred five thousand, six hundred one".