249713 has 8 divisors (see below), whose sum is σ = 272232. Its totient is φ = 228096.

The previous prime is 249703. The next prime is 249721. The reversal of 249713 is 317942.

249713 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 4 ways, for example, as 142129 + 107584 = 377^2 + 328^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 249713 - 2¹⁴ = 233329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (34029).

2²⁴⁹⁷¹³ is an apocalyptic number.

It is an amenable number.

249713 is a deficient number, since it is larger than the sum of its proper divisors (22519).

249713 is a wasteful number, since it uses less digits than its factorization.

249713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451.

The product of its digits is 1512, while the sum is 26.

The square root of 249713 is about 499.7129175837. The cubic root of 249713 is about 62.9719367747.

The spelling of 249713 in words is "two hundred forty-nine thousand, seven hundred thirteen".