2971332 has 72 divisors (see below), whose sum is σ = 9254336. Its totient is φ = 782784.

The previous prime is 2971321. The next prime is 2971333. The reversal of 2971332 is 2331792.

2971332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2971296 and 2971305.

It is not an unprimeable number, because it can be changed into a prime (2971333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2823 + ... + 3729.

2^2971332 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 2971332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627168).

2971332 is an abundant number, since it is smaller than the sum of its proper divisors (6283004).

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

2971332 is a wasteful number, since it uses less digits than its factorization.

2971332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 932 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 2971332 is about 1723.7552030378. The cubic root of 2971332 is about 143.7640812923.

The spelling of 2971332 in words is "two million, nine hundred seventy-one thousand, three hundred thirty-two".