971324172 has 288 divisors, whose sum is σ = 3249372672. Its totient is φ = 237385728.

The previous prime is 971324161. The next prime is 971324177. The reversal of 971324172 is 271423179.

It is a super-2 number, since 2×971324172² = 1886941294222971168, 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 (971324177) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5958963 + ... + 5959125.

It is an arithmetic number, because the mean of its divisors is an integer number (11282544).

Almost surely, 2^971324172 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 971324172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624686336).

971324172 is an abundant number, since it is smaller than the sum of its proper divisors (2278048500).

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

971324172 is a wasteful number, since it uses less digits than its factorization.

971324172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 312 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 971324172 is about 31166.0740549720. The cubic root of 971324172 is about 990.3485396600.

The spelling of 971324172 in words is "nine hundred seventy-one million, three hundred twenty-four thousand, one hundred seventy-two".