2972257 has 2 divisors, whose sum is σ = 2972258. Its totient is φ = 2972256.

The previous prime is 2972251. The next prime is 2972269. The reversal of 2972257 is 7522792.

2972257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2972176 + 81 = 1724^2 + 9^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2972257 is a prime.

2972257 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (2972251) 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 as a sum of consecutive naturals, namely, 1486128 + 1486129.

It is an arithmetic number, because the mean of its divisors is an integer number (1486129).

2^2972257 is an apocalyptic number.

It is an amenable number.

2972257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2972257 is an equidigital number, since it uses as much as digits as its factorization.

2972257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 34.

The square root of 2972257 is about 1724.0234917193. The cubic root of 2972257 is about 143.7789980567.

The spelling of 2972257 in words is "two million, nine hundred seventy-two thousand, two hundred fifty-seven".