13833940 has 12 divisors (see below), whose sum is σ = 29051316. Its totient is φ = 5533568.

The previous prime is 13833913. The next prime is 13833943. The reversal of 13833940 is 4933831.

13833940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7300804 + 6533136 = 2702^2 + 2556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13833943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345829 + ... + 345868.

It is an arithmetic number, because the mean of its divisors is an integer number (2420943).

Almost surely, 2^13833940 is an apocalyptic number.

13833940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13833940 is an abundant number, since it is smaller than the sum of its proper divisors (15217376).

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

13833940 is a wasteful number, since it uses less digits than its factorization.

13833940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691706 (or 691704 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 13833940 is about 3719.4004893262. The cubic root of 13833940 is about 240.0575093665.

The spelling of 13833940 in words is "thirteen million, eight hundred thirty-three thousand, nine hundred forty".