249116 has 36 divisors (see below), whose sum is σ = 536256. Its totient is φ = 100800.

The previous prime is 249107. The next prime is 249127. The reversal of 249116 is 611942.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 249091 and 249100.

It is a congruent number.

It is an unprimeable number.

249116 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, 6056 + ... + 6096.

It is an arithmetic number, because the mean of its divisors is an integer number (14896).

2²⁴⁹¹¹⁶ 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 249116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128).

249116 is an abundant number, since it is smaller than the sum of its proper divisors (287140).

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

249116 is a wasteful number, since it uses less digits than its factorization.

249116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 249116 is about 499.1152171593. The cubic root of 249116 is about 62.9217134576.

The spelling of 249116 in words is "two hundred forty-nine thousand, one hundred sixteen".