249361 has 8 divisors (see below), whose sum is σ = 291200. Its totient is φ = 213444.

The previous prime is 249341. The next prime is 249367. The reversal of 249361 is 163942.

249361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 249361 - 2⁵ = 249329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 706.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2²⁴⁹³⁶¹ is an apocalyptic number.

It is an amenable number.

249361 is a deficient number, since it is larger than the sum of its proper divisors (41839).

249361 is an frugal number, since it uses more digits than its factorization.

249361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 734 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 249361 is about 499.3605911563. The cubic root of 249361 is about 62.9423340639.

The spelling of 249361 in words is "two hundred forty-nine thousand, three hundred sixty-one".