971725000 has 96 divisors (see below), whose sum is σ = 2328600960. Its totient is φ = 379960000.

The previous prime is 971724997. The next prime is 971725021. The reversal of 971725000 is 527179.

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, 1174587 + ... + 1175413.

It is an arithmetic number, because the mean of its divisors is an integer number (24256260).

Almost surely, 2^971725000 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 971725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164300480).

971725000 is an abundant number, since it is smaller than the sum of its proper divisors (1356875960).

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

971725000 is an equidigital number, since it uses as much as digits as its factorization.

971725000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 971725000 is about 31172.5039096958. The cubic root of 971725000 is about 990.4847471333.

The spelling of 971725000 in words is "nine hundred seventy-one million, seven hundred twenty-five thousand".