249305 has 16 divisors (see below), whose sum is σ = 362880. Its totient is φ = 160512.

The previous prime is 249287. The next prime is 249311. The reversal of 249305 is 503942.

249305 = 113² + 114² + ... + 129².

It is a cyclic number.

It is not a de Polignac number, because 249305 - 2¹² = 245209 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386 + ... + 804.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2²⁴⁹³⁰⁵ is an apocalyptic number.

It is an amenable number.

249305 is a deficient number, since it is larger than the sum of its proper divisors (113575).

249305 is a wasteful number, since it uses less digits than its factorization.

249305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 249305 is about 499.3045163024. The cubic root of 249305 is about 62.9376219737.

The spelling of 249305 in words is "two hundred forty-nine thousand, three hundred five".