971731200 has 432 divisors, whose sum is σ = 3613268736. Its totient is φ = 227942400.

The previous prime is 971731199. The next prime is 971731249. The reversal of 971731200 is 2137179.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9081547 + ... + 9081653.

It is an arithmetic number, because the mean of its divisors is an integer number (8364048).

Almost surely, 2^971731200 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 971731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806634368).

971731200 is an abundant number, since it is smaller than the sum of its proper divisors (2641537536).

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

971731200 is a wasteful number, since it uses less digits than its factorization.

971731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 971731200 is about 31172.6033561523. The cubic root of 971731200 is about 990.4868536938.

Adding to 971731200 its reverse (2137179), we get a palindrome (973868379).

The spelling of 971731200 in words is "nine hundred seventy-one million, seven hundred thirty-one thousand, two hundred".