249084 has 72 divisors (see below), whose sum is σ = 746928. Its totient is φ = 69120.

The previous prime is 249079. The next prime is 249089. The reversal of 249084 is 480942.

It is an interprime number because it is at equal distance from previous prime (249079) and next prime (249089).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249089) by changing a digit.

249084 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 23 ways as a sum of consecutive naturals, for example, 6714 + ... + 6750.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2²⁴⁹⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464).

249084 is an abundant number, since it is smaller than the sum of its proper divisors (497844).

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

249084 is a wasteful number, since it uses less digits than its factorization.

249084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 249084 is about 499.0831594033. The cubic root of 249084 is about 62.9190191558.

The spelling of 249084 in words is "two hundred forty-nine thousand, eighty-four".