249205 has 16 divisors (see below), whose sum is σ = 342144. Its totient is φ = 172480.

The previous prime is 249199. The next prime is 249211. The reversal of 249205 is 502942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (249199) and next prime (249211).

It is not a de Polignac number, because 249205 - 2¹³ = 241013 is a prime.

It is a congruent 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, 1167 + ... + 1363.

It is an arithmetic number, because the mean of its divisors is an integer number (21384).

2²⁴⁹²⁰⁵ is an apocalyptic number.

It is an amenable number.

249205 is a deficient number, since it is larger than the sum of its proper divisors (92939).

249205 is a wasteful number, since it uses less digits than its factorization.

249205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 249205 is about 499.2043669681. The cubic root of 249205 is about 62.9292057714.

It can be divided in two parts, 249 and 205, that added together give a palindrome (454).

The spelling of 249205 in words is "two hundred forty-nine thousand, two hundred five".