972285000 has 160 divisors (see below), whose sum is σ = 3097258560. Its totient is φ = 254176000.

The previous prime is 972284993. The next prime is 972285011. The reversal of 972285000 is 582279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 794389 + ... + 795611.

It is an arithmetic number, because the mean of its divisors is an integer number (19357866).

Almost surely, 2^972285000 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 972285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548629280).

972285000 is an abundant number, since it is smaller than the sum of its proper divisors (2124973560).

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

972285000 is a wasteful number, since it uses less digits than its factorization.

972285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 972285000 is about 31181.4848908772. The cubic root of 972285000 is about 990.6749809756.

The spelling of 972285000 in words is "nine hundred seventy-two million, two hundred eighty-five thousand".