2972832 has 48 divisors (see below), whose sum is σ = 7892640. Its totient is φ = 979712.

The previous prime is 2972831. The next prime is 2972843. The reversal of 2972832 is 2382792.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2972793 and 2972802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16519 + ... + 16697.

It is an arithmetic number, because the mean of its divisors is an integer number (164430).

2^2972832 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 2972832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946320).

2972832 is an abundant number, since it is smaller than the sum of its proper divisors (4919808).

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

2972832 is a wasteful number, since it uses less digits than its factorization.

2972832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2972832 is about 1724.1902447236. The cubic root of 2972832 is about 143.7882690802.

The spelling of 2972832 in words is "two million, nine hundred seventy-two thousand, eight hundred thirty-two".