2937313 has 8 divisors (see below), whose sum is σ = 3020328. Its totient is φ = 2855424.

The previous prime is 2937283. The next prime is 2937329. The reversal of 2937313 is 3137392.

2937313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 351649 + 2585664 = 593^2 + 1608^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2937313 is a prime.

It is a Duffinian number.

2937313 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2937013) 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 in 7 ways as a sum of consecutive naturals, for example, 8145 + ... + 8497.

It is an arithmetic number, because the mean of its divisors is an integer number (377541).

2^2937313 is an apocalyptic number.

It is an amenable number.

2937313 is a deficient number, since it is larger than the sum of its proper divisors (83015).

2937313 is a wasteful number, since it uses less digits than its factorization.

2937313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its digits is 3402, while the sum is 28.

The square root of 2937313 is about 1713.8590957252. The cubic root of 2937313 is about 143.2133188043.

The spelling of 2937313 in words is "two million, nine hundred thirty-seven thousand, three hundred thirteen".