249724 has 12 divisors (see below), whose sum is σ = 441000. Its totient is φ = 123728.

The previous prime is 249721. The next prime is 249727. The reversal of 249724 is 427942.

249724 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (249721) and next prime (249727).

It is a d-powerful number, because it can be written as 2 + 4² + 7⁶ + 9³ + 2¹⁷ + 4⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 249692 and 249701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249721) 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 3 ways as a sum of consecutive naturals, for example, 387 + ... + 805.

It is an arithmetic number, because the mean of its divisors is an integer number (36750).

2²⁴⁹⁷²⁴ is an apocalyptic number.

It is an amenable number.

249724 is a deficient number, since it is larger than the sum of its proper divisors (191276).

249724 is a wasteful number, since it uses less digits than its factorization.

249724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 570 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 249724 is about 499.7239237819. The cubic root of 249724 is about 62.9728614110.

It can be divided in two parts, 24972 and 4, that added together give a triangular number (24976 = T₂₂₃).

The spelling of 249724 in words is "two hundred forty-nine thousand, seven hundred twenty-four".