13205304 has 144 divisors (see below), whose sum is σ = 44015400. Its totient is φ = 3556224.

The previous prime is 13205303. The next prime is 13205327. The reversal of 13205304 is 40350231.

13205304 is a `hidden beast` number, since 132 + 0 + 530 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66934 + ... + 67130.

Almost surely, 2^13205304 is an apocalyptic number.

13205304 is a gapful number since it is divisible by the number (14) 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 13205304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22007700).

13205304 is an abundant number, since it is smaller than the sum of its proper divisors (30810096).

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

13205304 is a wasteful number, since it uses less digits than its factorization.

13205304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13205304 is about 3633.9102905823. The cubic root of 13205304 is about 236.3648001736.

Adding to 13205304 its reverse (40350231), we get a palindrome (53555535).

The spelling of 13205304 in words is "thirteen million, two hundred five thousand, three hundred four".