972945116 has 48 divisors (see below), whose sum is σ = 2003527680. Its totient is φ = 407574720.

The previous prime is 972945109. The next prime is 972945131. The reversal of 972945116 is 611549279.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552245 + ... + 554003.

It is an arithmetic number, because the mean of its divisors is an integer number (41740160).

Almost surely, 2^972945116 is an apocalyptic number.

It is an amenable number.

972945116 is an abundant number, since it is smaller than the sum of its proper divisors (1030582564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

972945116 is a wasteful number, since it uses less digits than its factorization.

972945116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2752 counting only the distinct ones).

The product of its digits is 136080, while the sum is 44.

The square root of 972945116 is about 31192.0681584277. The cubic root of 972945116 is about 990.8991307750.

It can be divided in two parts, 9729 and 45116, that added together give a palindrome (54845).

The spelling of 972945116 in words is "nine hundred seventy-two million, nine hundred forty-five thousand, one hundred sixteen".