13838958 has 64 divisors (see below), whose sum is σ = 36311040. Its totient is φ = 3823200.

The previous prime is 13838953. The next prime is 13838959. The reversal of 13838958 is 85983831.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11128 + ... + 12308.

It is an arithmetic number, because the mean of its divisors is an integer number (567360).

Almost surely, 2^13838958 is an apocalyptic number.

13838958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13838958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18155520).

13838958 is an abundant number, since it is smaller than the sum of its proper divisors (22472082).

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

13838958 is a wasteful number, since it uses less digits than its factorization.

13838958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 13838958 is about 3720.0749992440. The cubic root of 13838958 is about 240.0865312976.

The spelling of 13838958 in words is "thirteen million, eight hundred thirty-eight thousand, nine hundred fifty-eight".