972149841 has 12 divisors (see below), whose sum is σ = 1512233268. Its totient is φ = 598245984.

The previous prime is 972149831. The next prime is 972149881. The reversal of 972149841 is 148941279.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48233025 + 923916816 = 6945^2 + 30396^2 .

It is not a de Polignac number, because 972149841 - 2⁷ = 972149713 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (972149831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4154370 + ... + 4154603.

It is an arithmetic number, because the mean of its divisors is an integer number (126019439).

Almost surely, 2^972149841 is an apocalyptic number.

It is an amenable number.

972149841 is a deficient number, since it is larger than the sum of its proper divisors (540083427).

972149841 is a wasteful number, since it uses less digits than its factorization.

972149841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8308992 (or 8308989 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 972149841 is about 31179.3175197919. The cubic root of 972149841 is about 990.6290737074.

The spelling of 972149841 in words is "nine hundred seventy-two million, one hundred forty-nine thousand, eight hundred forty-one".