249309 has 6 divisors (see below), whose sum is σ = 360126. Its totient is φ = 166200.

The previous prime is 249287. The next prime is 249311. The reversal of 249309 is 903942.

It can be written as a sum of positive squares in only one way, i.e., 205209 + 44100 = 453^2 + 210^2 .

It is not a de Polignac number, because 249309 - 2⁷ = 249181 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249329) 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 5 ways as a sum of consecutive naturals, for example, 13842 + ... + 13859.

It is an arithmetic number, because the mean of its divisors is an integer number (60021).

2²⁴⁹³⁰⁹ is an apocalyptic number.

It is an amenable number.

249309 is a deficient number, since it is larger than the sum of its proper divisors (110817).

249309 is a wasteful number, since it uses less digits than its factorization.

249309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27707 (or 27704 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 249309 is about 499.3085218580. The cubic root of 249309 is about 62.9379585749.

The spelling of 249309 in words is "two hundred forty-nine thousand, three hundred nine".