249282 has 24 divisors (see below), whose sum is σ = 589680. Its totient is φ = 75480.

The previous prime is 249257. The next prime is 249287. The reversal of 249282 is 282942.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (249287) by changing a digit.

249282 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 11 ways as a sum of consecutive naturals, for example, 432 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2²⁴⁹²⁸² is an apocalyptic number.

249282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

249282 is an abundant number, since it is smaller than the sum of its proper divisors (340398).

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

249282 is a wasteful number, since it uses less digits than its factorization.

249282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1275 counting only the distinct ones).

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

The square root of 249282 is about 499.2814837344. The cubic root of 249282 is about 62.9356864465.

It can be divided in two parts, 2 and 49282, that added together give a square (49284 = 222²).

The spelling of 249282 in words is "two hundred forty-nine thousand, two hundred eighty-two".