249333 has 16 divisors (see below), whose sum is σ = 393216. Its totient is φ = 137520.

The previous prime is 249329. The next prime is 249341. The reversal of 249333 is 333942.

It is not a de Polignac number, because 249333 - 2² = 249329 is a prime.

249333 is a modest number, since divided by 333 gives 249 as remainder.

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 249333.

It is not an unprimeable number, because it can be changed into a prime (249383) 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, 460 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (24576).

2²⁴⁹³³³ is an apocalyptic number.

It is an amenable number.

249333 is a deficient number, since it is larger than the sum of its proper divisors (143883).

249333 is a wasteful number, since it uses less digits than its factorization.

249333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424.

The product of its digits is 1944, while the sum is 24.

The square root of 249333 is about 499.3325545165. The cubic root of 249333 is about 62.9399781070.

The spelling of 249333 in words is "two hundred forty-nine thousand, three hundred thirty-three".