972141984 has 144 divisors (see below), whose sum is σ = 3080488320. Its totient is φ = 288276480.

The previous prime is 972141977. The next prime is 972142027. The reversal of 972141984 is 489141279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145632 + ... + 152160.

It is an arithmetic number, because the mean of its divisors is an integer number (21392280).

Almost surely, 2^972141984 is an apocalyptic number.

972141984 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972141984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540244160).

972141984 is an abundant number, since it is smaller than the sum of its proper divisors (2108346336).

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

972141984 is a wasteful number, since it uses less digits than its factorization.

972141984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6592 counting only the distinct ones).

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

The square root of 972141984 is about 31179.1915225523. The cubic root of 972141984 is about 990.6264049166.

The spelling of 972141984 in words is "nine hundred seventy-two million, one hundred forty-one thousand, nine hundred eighty-four".