971289792 has 140 divisors (see below), whose sum is σ = 3141137736. Its totient is φ = 294312960.

The previous prime is 971289791. The next prime is 971289853. The reversal of 971289792 is 297982179.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (971289791) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48508 + ... + 65540.

Almost surely, 2^971289792 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 971289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570568868).

971289792 is an abundant number, since it is smaller than the sum of its proper divisors (2169847944).

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

971289792 is a wasteful number, since it uses less digits than its factorization.

971289792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17068 (or 17049 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 971289792 is about 31165.5224888016. The cubic root of 971289792 is about 990.3368550665.

The spelling of 971289792 in words is "nine hundred seventy-one million, two hundred eighty-nine thousand, seven hundred ninety-two".