972100041 has 32 divisors (see below), whose sum is σ = 1438525440. Its totient is φ = 579009600.

The previous prime is 972100007. The next prime is 972100049. The reversal of 972100041 is 140001279.

972100041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 972100041 - 2¹⁰ = 972099017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 972099984 and 972100020.

It is not an unprimeable number, because it can be changed into a prime (972100049) 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, 470176 + ... + 472238.

It is an arithmetic number, because the mean of its divisors is an integer number (44953920).

Almost surely, 2^972100041 is an apocalyptic number.

It is an amenable number.

972100041 is a deficient number, since it is larger than the sum of its proper divisors (466425399).

972100041 is a wasteful number, since it uses less digits than its factorization.

972100041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 972100041 is about 31178.5189032449. The cubic root of 972100041 is about 990.6121578754.

The spelling of 972100041 in words is "nine hundred seventy-two million, one hundred thousand, forty-one".