13827700 has 36 divisors (see below), whose sum is σ = 30583980. Its totient is φ = 5424640.

The previous prime is 13827689. The next prime is 13827703. The reversal of 13827700 is 772831.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 19044 + 13808656 = 138^2 + 3716^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13827703) 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, 3996 + ... + 6604.

It is an arithmetic number, because the mean of its divisors is an integer number (849555).

Almost surely, 2^13827700 is an apocalyptic number.

13827700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13827700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291990).

13827700 is an abundant number, since it is smaller than the sum of its proper divisors (16756280).

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

13827700 is a wasteful number, since it uses less digits than its factorization.

13827700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 13827700 is about 3718.5615498469. The cubic root of 13827700 is about 240.0214101270.

The spelling of 13827700 in words is "thirteen million, eight hundred twenty-seven thousand, seven hundred".