2257713 has 28 divisors (see below), whose sum is σ = 3585040. Its totient is φ = 1417176.

The previous prime is 2257709. The next prime is 2257721. The reversal of 2257713 is 3177522.

It is not a de Polignac number, because 2257713 - 2² = 2257709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2¹¹ + 2¹³ + 5⁹ + 7⁶ + 7⁶ + 1 + 3¹⁰ .

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (2257733) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13770 + ... + 13932.

2^2257713 is an apocalyptic number.

It is an amenable number.

2257713 is a deficient number, since it is larger than the sum of its proper divisors (1327327).

2257713 is an equidigital number, since it uses as much as digits as its factorization.

2257713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 2257713 is about 1502.5688004215. The cubic root of 2257713 is about 131.1866306338.

The spelling of 2257713 in words is "two million, two hundred fifty-seven thousand, seven hundred thirteen".