249111 has 12 divisors (see below), whose sum is σ = 365040. Its totient is φ = 163680.

The previous prime is 249107. The next prime is 249127. The reversal of 249111 is 111942.

It is not a de Polignac number, because 249111 - 2² = 249107 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 249111.

It is not an unprimeable number, because it can be changed into a prime (249131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (30420).

2²⁴⁹¹¹¹ is an apocalyptic number.

249111 is a deficient number, since it is larger than the sum of its proper divisors (115929).

249111 is a wasteful number, since it uses less digits than its factorization.

249111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 403 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 249111 is about 499.1102082707. The cubic root of 249111 is about 62.9212924882.

The spelling of 249111 in words is "two hundred forty-nine thousand, one hundred eleven".