249345 has 16 divisors (see below), whose sum is σ = 443520. Its totient is φ = 132912.

The previous prime is 249341. The next prime is 249367. The reversal of 249345 is 543942.

It is not a de Polignac number, because 249345 - 2² = 249341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁵ + 4³ + 3¹¹ + 9⁴ + 4⁸ + 5 .

It is a Curzon number.

249345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (249341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

It is a Proth number, since it is equal to 487 ⋅ 2⁹ + 1 and 487 < 2⁹.

2²⁴⁹³⁴⁵ is an apocalyptic number.

It is an amenable number.

249345 is a deficient number, since it is larger than the sum of its proper divisors (194175).

249345 is a wasteful number, since it uses less digits than its factorization.

249345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1855 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 249345 is about 499.3445704121. The cubic root of 249345 is about 62.9409878244.

Subtracting from 249345 its product of digits (4320), we obtain a square (245025 = 495²).

It can be divided in two parts, 249 and 345, that multiplied together give a triangular number (85905 = T₄₁₄).

The spelling of 249345 in words is "two hundred forty-nine thousand, three hundred forty-five".