970891000 has 64 divisors (see below), whose sum is σ = 2350296000. Its totient is φ = 374953600.

The previous prime is 970890979. The next prime is 970891001. The reversal of 970891000 is 198079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970891001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12261 + ... + 45739.

It is an arithmetic number, because the mean of its divisors is an integer number (36723375).

Almost surely, 2^970891000 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 970891000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175148000).

970891000 is an abundant number, since it is smaller than the sum of its proper divisors (1379405000).

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

970891000 is a wasteful number, since it uses less digits than its factorization.

970891000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33529 (or 33515 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The square root of 970891000 is about 31159.1238644478. The cubic root of 970891000 is about 990.2012990659.

It can be divided in two parts, 97089 and 1000, that added together give a palindrome (98089).

The spelling of 970891000 in words is "nine hundred seventy million, eight hundred ninety-one thousand".