249873 has 16 divisors (see below), whose sum is σ = 369600. Its totient is φ = 149184.

The previous prime is 249871. The next prime is 249881. The reversal of 249873 is 378942.

It is not a de Polignac number, because 249873 - 2¹ = 249871 is a prime.

It is a super-2 number, since 2×249873² = 124873032258, which contains 22 as substring.

It is a Curzon number.

249873 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249873.

It is not an unprimeable number, because it can be changed into a prime (249871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2²⁴⁹⁸⁷³ is an apocalyptic number.

It is an amenable number.

249873 is a deficient number, since it is larger than the sum of its proper divisors (119727).

249873 is a wasteful number, since it uses less digits than its factorization.

249873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its digits is 12096, while the sum is 33.

The square root of 249873 is about 499.8729838669. The cubic root of 249873 is about 62.9853833563.

The spelling of 249873 in words is "two hundred forty-nine thousand, eight hundred seventy-three".