2971752 has 96 divisors (see below), whose sum is σ = 9144000. Its totient is φ = 804384.

The previous prime is 2971751. The next prime is 2971777. The reversal of 2971752 is 2571792.

It is a super-3 number, since 3×2971752³ = 78733389015175233024, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2971751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156399 + ... + 156417.

It is an arithmetic number, because the mean of its divisors is an integer number (95250).

2^2971752 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 2971752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572000).

2971752 is an abundant number, since it is smaller than the sum of its proper divisors (6172248).

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

2971752 is a wasteful number, since it uses less digits than its factorization.

2971752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 2971752 is about 1723.8770257765. The cubic root of 2971752 is about 143.7708546933.

The spelling of 2971752 in words is "two million, nine hundred seventy-one thousand, seven hundred fifty-two".