13284832 has 72 divisors (see below), whose sum is σ = 29762208. Its totient is φ = 5829120.

The previous prime is 13284809. The next prime is 13284839. The reversal of 13284832 is 23848231.

13284832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13284832² = 352973522536448, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 13284794 and 13284803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13284839) 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, 181948 + ... + 182020.

It is an arithmetic number, because the mean of its divisors is an integer number (413364).

Almost surely, 2^13284832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13284832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881104).

13284832 is an abundant number, since it is smaller than the sum of its proper divisors (16477376).

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

13284832 is a wasteful number, since it uses less digits than its factorization.

13284832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 13284832 is about 3644.8363474922. The cubic root of 13284832 is about 236.8383475150.

The spelling of 13284832 in words is "thirteen million, two hundred eighty-four thousand, eight hundred thirty-two".