2972892 has 96 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 801792.

The previous prime is 2972887. The next prime is 2972897. The reversal of 2972892 is 2982792.

It is an interprime number because it is at equal distance from previous prime (2972887) and next prime (2972897).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2972892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50359 + ... + 50417.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

2^2972892 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 2972892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

2972892 is an abundant number, since it is smaller than the sum of its proper divisors (5494308).

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

2972892 is a wasteful number, since it uses less digits than its factorization.

2972892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 2972892 is about 1724.2076441079. The cubic root of 2972892 is about 143.7892364224.

The spelling of 2972892 in words is "two million, nine hundred seventy-two thousand, eight hundred ninety-two".