249858 has 32 divisors (see below), whose sum is σ = 635520. Its totient is φ = 71280.

The previous prime is 249857. The next prime is 249859. The reversal of 249858 is 858942.

It is an interprime number because it is at equal distance from previous prime (249857) and next prime (249859).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249858.

It is not an unprimeable number, because it can be changed into a prime (249853) 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, 48 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (19860).

2²⁴⁹⁸⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317760).

249858 is an abundant number, since it is smaller than the sum of its proper divisors (385662).

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

249858 is a wasteful number, since it uses less digits than its factorization.

249858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 249858 is about 499.8579798303. The cubic root of 249858 is about 62.9841229832.

It can be divided in two parts, 2498 and 58, that added together give a triangular number (2556 = T₇₁).

The spelling of 249858 in words is "two hundred forty-nine thousand, eight hundred fifty-eight".