13835232 has 96 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 4523904.

The previous prime is 13835231. The next prime is 13835251. The reversal of 13835232 is 23253831.

13835232 is a `hidden beast` number, since 138 + 3 + 523 + 2 = 666.

13835232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13835196 and 13835205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13835231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57769 + ... + 58007.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 2^13835232 is an apocalyptic number.

13835232 is a gapful number since it is divisible by the number (12) 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 13835232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

13835232 is an abundant number, since it is smaller than the sum of its proper divisors (27291168).

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

13835232 is a wasteful number, since it uses less digits than its factorization.

13835232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13835232 is about 3719.5741691758. The cubic root of 13835232 is about 240.0649824038.

It can be divided in two parts, 138352 and 32, that added together give a square (138384 = 372²).

The spelling of 13835232 in words is "thirteen million, eight hundred thirty-five thousand, two hundred thirty-two".