13835900 has 72 divisors (see below), whose sum is σ = 33539520. Its totient is φ = 4919040.

The previous prime is 13835897. The next prime is 13835911. The reversal of 13835900 is 953831.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37517 + ... + 37883.

Almost surely, 2^13835900 is an apocalyptic number.

13835900 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 13835900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16769760).

13835900 is an abundant number, since it is smaller than the sum of its proper divisors (19703620).

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

13835900 is a wasteful number, since it uses less digits than its factorization.

13835900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 13835900 is about 3719.6639633171. The cubic root of 13835900 is about 240.0688459898.

The spelling of 13835900 in words is "thirteen million, eight hundred thirty-five thousand, nine hundred".