249312 has 72 divisors (see below), whose sum is σ = 775656. Its totient is φ = 69888.

The previous prime is 249311. The next prime is 249317. The reversal of 249312 is 213942.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4678 + ... + 4730.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

2²⁴⁹³¹² 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 249312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387828).

249312 is an abundant number, since it is smaller than the sum of its proper divisors (526344).

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

249312 is a wasteful number, since it uses less digits than its factorization.

249312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 249312 is about 499.3115260036. The cubic root of 249312 is about 62.9382110235.

It can be divided in two parts, 249 and 312, that added together give a triangular number (561 = T₃₃).

The spelling of 249312 in words is "two hundred forty-nine thousand, three hundred twelve".