2972365 has 24 divisors (see below), whose sum is σ = 4165560. Its totient is φ = 2034560.

The previous prime is 2972363. The next prime is 2972369. The reversal of 2972365 is 5632792.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 393129 + 2579236 = 627^2 + 1606^2 .

It is not a de Polignac number, because 2972365 - 2¹ = 2972363 is a prime.

2972365 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2972365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972363) 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 23 ways as a sum of consecutive naturals, for example, 174837 + ... + 174853.

It is an arithmetic number, because the mean of its divisors is an integer number (173565).

2^2972365 is an apocalyptic number.

It is an amenable number.

2972365 is a deficient number, since it is larger than the sum of its proper divisors (1193195).

2972365 is an equidigital number, since it uses as much as digits as its factorization.

2972365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 2972365 is about 1724.0548135138. The cubic root of 2972365 is about 143.7807394880.

It can be divided in two parts, 297 and 2365, that added together give a palindrome (2662).

The spelling of 2972365 in words is "two million, nine hundred seventy-two thousand, three hundred sixty-five".