13005396 has 72 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 4080384.

The previous prime is 13005371. The next prime is 13005397. The reversal of 13005396 is 69350031.

13005396 = 169² + 170² + ... + 352².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93495 + ... + 93633.

It is an arithmetic number, because the mean of its divisors is an integer number (484120).

Almost surely, 2^13005396 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 13005396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

13005396 is an abundant number, since it is smaller than the sum of its proper divisors (21851244).

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

13005396 is a wasteful number, since it uses less digits than its factorization.

13005396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 13005396 is about 3606.2994883953. The cubic root of 13005396 is about 235.1659970975.

The spelling of 13005396 in words is "thirteen million, five thousand, three hundred ninety-six".