249954 has 8 divisors (see below), whose sum is σ = 499920. Its totient is φ = 83316.

The previous prime is 249947. The next prime is 249967. The reversal of 249954 is 459942.

249954 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

249954 is an admirable number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249954.

It is an unprimeable number.

249954 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20824 + ... + 20835.

It is an arithmetic number, because the mean of its divisors is an integer number (62490).

2²⁴⁹⁹⁵⁴ is an apocalyptic number.

249954 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

249954 is a wasteful number, since it uses less digits than its factorization.

249954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41664.

The product of its digits is 12960, while the sum is 33.

The square root of 249954 is about 499.9539978838. The cubic root of 249954 is about 62.9921884999.

The spelling of 249954 in words is "two hundred forty-nine thousand, nine hundred fifty-four".