997137600 has 168 divisors, whose sum is σ = 3287237520. Its totient is φ = 264622080.

The previous prime is 997137569. The next prime is 997137611. The reversal of 997137600 is 6731799.

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, 1406046 + ... + 1406754.

It is an arithmetic number, because the mean of its divisors is an integer number (19566890).

Almost surely, 2^997137600 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 997137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643618760).

997137600 is an abundant number, since it is smaller than the sum of its proper divisors (2290099920).

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

997137600 is a wasteful number, since it uses less digits than its factorization.

997137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 997137600 is about 31577.4856503807. The cubic root of 997137600 is about 999.0449548458.

The spelling of 997137600 in words is "nine hundred ninety-seven million, one hundred thirty-seven thousand, six hundred".