2977313 has 2 divisors, whose sum is σ = 2977314. Its totient is φ = 2977312.

The previous prime is 2977283. The next prime is 2977361. The reversal of 2977313 is 3137792.

2977313 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., 2411809 + 565504 = 1553^2 + 752^2 .

It is a cyclic number.

It is not a de Polignac number, because 2977313 - 2¹⁰ = 2976289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2977313.

It is not a weakly prime, because it can be changed into another prime (2977213) 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, 1488656 + 1488657.

It is an arithmetic number, because the mean of its divisors is an integer number (1488657).

2^2977313 is an apocalyptic number.

It is an amenable number.

2977313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2977313 is an equidigital number, since it uses as much as digits as its factorization.

2977313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7938, while the sum is 32.

The square root of 2977313 is about 1725.4892059935. The cubic root of 2977313 is about 143.8604776426.

The spelling of 2977313 in words is "two million, nine hundred seventy-seven thousand, three hundred thirteen".