971165952 has 108 divisors (see below), whose sum is σ = 2823009280. Its totient is φ = 321076224.

The previous prime is 971165947. The next prime is 971165959. The reversal of 971165952 is 259561179.

It is a junction number, because it is equal to n+sod(n) for n = 971165898 and 971165907.

It is not an unprimeable number, because it can be changed into a prime (971165959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290949 + ... + 294267.

Almost surely, 2^971165952 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 971165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411504640).

971165952 is an abundant number, since it is smaller than the sum of its proper divisors (1851843328).

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

971165952 is a wasteful number, since it uses less digits than its factorization.

971165952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3451 counting only the distinct ones).

The product of its digits is 170100, while the sum is 45.

The square root of 971165952 is about 31163.5356145608. The cubic root of 971165952 is about 990.2947637737.

The spelling of 971165952 in words is "nine hundred seventy-one million, one hundred sixty-five thousand, nine hundred fifty-two".