2938753 has 2 divisors, whose sum is σ = 2938754. Its totient is φ = 2938752.

The previous prime is 2938729. The next prime is 2938763. The reversal of 2938753 is 3578392.

2938753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2650384 + 288369 = 1628^2 + 537^2 .

It is a cyclic number.

It is not a de Polignac number, because 2938753 - 2⁹ = 2938241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2938703) 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, 1469376 + 1469377.

It is an arithmetic number, because the mean of its divisors is an integer number (1469377).

2^2938753 is an apocalyptic number.

It is an amenable number.

2938753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2938753 is an equidigital number, since it uses as much as digits as its factorization.

2938753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 37.

The square root of 2938753 is about 1714.2791487970. The cubic root of 2938753 is about 143.2367181364.

The spelling of 2938753 in words is "two million, nine hundred thirty-eight thousand, seven hundred fifty-three".