971373312 has 432 divisors, whose sum is σ = 3562348608. Its totient is φ = 247726080.

The previous prime is 971373307. The next prime is 971373317. The reversal of 971373312 is 213373179.

It is an interprime number because it is at equal distance from previous prime (971373307) and next prime (971373317).

It is a super-2 number, since 2×971373312² = 1887132222531698688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (971373317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8596168 + ... + 8596280.

Almost surely, 2^971373312 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 971373312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781174304).

971373312 is an abundant number, since it is smaller than the sum of its proper divisors (2590975296).

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

971373312 is a wasteful number, since it uses less digits than its factorization.

971373312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its digits is 23814, while the sum is 36.

The square root of 971373312 is about 31166.8624022374. The cubic root of 971373312 is about 990.3652401973.

The spelling of 971373312 in words is "nine hundred seventy-one million, three hundred seventy-three thousand, three hundred twelve".