249717 has 16 divisors (see below), whose sum is σ = 378560. Its totient is φ = 145152.

The previous prime is 249703. The next prime is 249721. The reversal of 249717 is 717942.

It is not a de Polignac number, because 249717 - 2⁷ = 249589 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 249717.

It is not an unprimeable number, because it can be changed into a prime (249727) 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 15 ways as a sum of consecutive naturals, for example, 573 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (23660).

2²⁴⁹⁷¹⁷ is an apocalyptic number.

It is an amenable number.

249717 is a deficient number, since it is larger than the sum of its proper divisors (128843).

249717 is a wasteful number, since it uses less digits than its factorization.

249717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its digits is 3528, while the sum is 30.

The square root of 249717 is about 499.7169198656. The cubic root of 249717 is about 62.9722730092.

The spelling of 249717 in words is "two hundred forty-nine thousand, seven hundred seventeen".