2917152 has 72 divisors (see below), whose sum is σ = 9487296. Its totient is φ = 832896.

The previous prime is 2917147. The next prime is 2917157. The reversal of 2917152 is 2517192.

It is an interprime number because it is at equal distance from previous prime (2917147) and next prime (2917157).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2917152² = 17019551582208, which contains 22 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2917157) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1293 + ... + 2739.

It is an arithmetic number, because the mean of its divisors is an integer number (131768).

2^2917152 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 2917152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743648).

2917152 is an abundant number, since it is smaller than the sum of its proper divisors (6570144).

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

2917152 is a wasteful number, since it uses less digits than its factorization.

2917152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1459 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 2917152 is about 1707.9672128001. The cubic root of 2917152 is about 142.8849058423.

The spelling of 2917152 in words is "two million, nine hundred seventeen thousand, one hundred fifty-two".