249307 has 6 divisors (see below), whose sum is σ = 257244. Its totient is φ = 241560.

The previous prime is 249287. The next prime is 249311. The reversal of 249307 is 703942.

It is not a de Polignac number, because 249307 - 2¹¹ = 247259 is a prime.

It is a d-powerful number, because it can be written as 2⁹ + 4⁸ + 3¹⁰ + 9⁴ + 0 + 7⁶ .

It is a Duffinian number.

249307 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (249317) 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, 3688 + ... + 3754.

It is an arithmetic number, because the mean of its divisors is an integer number (42874).

2²⁴⁹³⁰⁷ is an apocalyptic number.

249307 is a deficient number, since it is larger than the sum of its proper divisors (7937).

249307 is an frugal number, since it uses more digits than its factorization.

249307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 249307 is about 499.3065190842. The cubic root of 249307 is about 62.9377902747.

The spelling of 249307 in words is "two hundred forty-nine thousand, three hundred seven".