997105824 has 432 divisors, whose sum is σ = 3513549312. Its totient is φ = 266112000.

The previous prime is 997105819. The next prime is 997105831. The reversal of 997105824 is 428501799.

It is a self number, because there is not a number n which added to its sum of digits gives 997105824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14043709 + ... + 14043779.

It is an arithmetic number, because the mean of its divisors is an integer number (8133216).

Almost surely, 2^997105824 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 997105824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756774656).

997105824 is an abundant number, since it is smaller than the sum of its proper divisors (2516443488).

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

997105824 is a wasteful number, since it uses less digits than its factorization.

997105824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 997105824 is about 31576.9825030828. The cubic root of 997105824 is about 999.0343424724.

The spelling of 997105824 in words is "nine hundred ninety-seven million, one hundred five thousand, eight hundred twenty-four".