249738 has 16 divisors (see below), whose sum is σ = 505440. Its totient is φ = 82256.

The previous prime is 249737. The next prime is 249749. The reversal of 249738 is 837942.

249738 is nontrivially palindromic in base 13.

249738 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

249738 is an undulating number in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 249699 and 249708.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249738.

It is not an unprimeable number, because it can be changed into a prime (249737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (31590).

2²⁴⁹⁷³⁸ is an apocalyptic number.

249738 is an abundant number, since it is smaller than the sum of its proper divisors (255702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249738 is a wasteful number, since it uses less digits than its factorization.

249738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501.

The product of its digits is 12096, while the sum is 33.

The square root of 249738 is about 499.7379313200. The cubic root of 249738 is about 62.9740381816.

The spelling of 249738 in words is "two hundred forty-nine thousand, seven hundred thirty-eight".