997600 has 72 divisors (see below), whose sum is σ = 2577960. Its totient is φ = 376320.

The previous prime is 997597. The next prime is 997609. The reversal of 997600 is 6799.

997600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23179 + ... + 23221.

It is an arithmetic number, because the mean of its divisors is an integer number (35805).

2⁹⁹⁷⁶⁰⁰ 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 997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288980).

997600 is an abundant number, since it is smaller than the sum of its proper divisors (1580360).

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

997600 is a wasteful number, since it uses less digits than its factorization.

997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 997600 is about 998.7992791347. The cubic root of 997600 is about 99.9199359145.

The spelling of 997600 in words is "nine hundred ninety-seven thousand, six hundred".