997517472 has 96 divisors (see below), whose sum is σ = 3056320512. Its totient is φ = 278932224.

The previous prime is 997517471. The next prime is 997517491. The reversal of 997517472 is 274715799.

997517472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×997517472² = 1990082213890541568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (997517471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15793 + ... + 47375.

It is an arithmetic number, because the mean of its divisors is an integer number (31836672).

Almost surely, 2^997517472 is an apocalyptic number.

It is a pronic number, being equal to 31583×31584.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997517472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528160256).

997517472 is an abundant number, since it is smaller than the sum of its proper divisors (2058803040).

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

997517472 is a wasteful number, since it uses less digits than its factorization.

997517472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31650 (or 31642 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 51.

The square root of 997517472 is about 31583.4999960422. The cubic root of 997517472 is about 999.1718049490.

The spelling of 997517472 in words is "nine hundred ninety-seven million, five hundred seventeen thousand, four hundred seventy-two".