13205956 has 27 divisors (see below), whose sum is σ = 24468591. Its totient is φ = 6235944.

The previous prime is 13205953. The next prime is 13205981. The reversal of 13205956 is 65950231.

The square root of 13205956 is 3634.

It is a perfect power (a square), and thus also a powerful number.

13205956 is a Rhonda number in base 15.

It is not an unprimeable number, because it can be changed into a prime (13205953) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 167125 + ... + 167203.

Almost surely, 2^13205956 is an apocalyptic number.

13205956 is the 3634-th square number.

It is an amenable number.

13205956 is a deficient number, since it is larger than the sum of its proper divisors (11262635).

13205956 is an equidigital number, since it uses as much as digits as its factorization.

13205956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The cubic root of 13205956 is about 236.3686902093.

Multiplying 13205956 by its product of nonzero digits (8100), we get a square (106968243600 = 327060²).

It can be divided in two parts, 13205 and 956, that added together give a square (14161 = 119²).

The spelling of 13205956 in words is "thirteen million, two hundred five thousand, nine hundred fifty-six".