2917952 has 28 divisors (see below), whose sum is σ = 5852160. Its totient is φ = 1443456.

The previous prime is 2917949. The next prime is 2917969. The reversal of 2917952 is 2597192.

2917952 is an admirable number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7949 + ... + 8307.

2^2917952 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 2917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926080).

2917952 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2917952 is a wasteful number, since it uses less digits than its factorization.

2917952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its digits is 11340, while the sum is 35.

The square root of 2917952 is about 1708.2013932789. The cubic root of 2917952 is about 142.8979662378.

Adding to 2917952 its product of digits (11340), we get a palindrome (2929292).

The spelling of 2917952 in words is "two million, nine hundred seventeen thousand, nine hundred fifty-two".