249813 has 12 divisors (see below), whose sum is σ = 370188. Its totient is φ = 162240.

The previous prime is 249811. The next prime is 249827. The reversal of 249813 is 318942.

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 106929 = 378^2 + 327^2 .

It is not a de Polignac number, because 249813 - 2¹ = 249811 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249813.

It is not an unprimeable number, because it can be changed into a prime (249811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (30849).

2²⁴⁹⁸¹³ is an apocalyptic number.

It is an amenable number.

249813 is a deficient number, since it is larger than the sum of its proper divisors (120375).

249813 is a wasteful number, since it uses less digits than its factorization.

249813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 721 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 249813 is about 499.8129650179. The cubic root of 249813 is about 62.9803415611.

The spelling of 249813 in words is "two hundred forty-nine thousand, eight hundred thirteen".