972097104 has 80 divisors (see below), whose sum is σ = 2780536320. Its totient is φ = 290167680.

The previous prime is 972097097. The next prime is 972097109. The reversal of 972097104 is 401790279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972097109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21637 + ... + 49115.

It is an arithmetic number, because the mean of its divisors is an integer number (34756704).

Almost surely, 2^972097104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972097104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390268160).

972097104 is an abundant number, since it is smaller than the sum of its proper divisors (1808439216).

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

972097104 is a wasteful number, since it uses less digits than its factorization.

972097104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27568 (or 27562 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 972097104 is about 31178.4718034736. The cubic root of 972097104 is about 990.6111602308.

The spelling of 972097104 in words is "nine hundred seventy-two million, ninety-seven thousand, one hundred four".