13205173 has 2 divisors, whose sum is σ = 13205174. Its totient is φ = 13205172.

The previous prime is 13205149. The next prime is 13205183. The reversal of 13205173 is 37150231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11819844 + 1385329 = 3438^2 + 1177^2 .

It is an emirp because it is prime and its reverse (37150231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13205173 - 2⁹ = 13204661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13205123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6602586 + 6602587.

It is an arithmetic number, because the mean of its divisors is an integer number (6602587).

Almost surely, 2^13205173 is an apocalyptic number.

It is an amenable number.

13205173 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205173 is an equidigital number, since it uses as much as digits as its factorization.

13205173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 13205173 is about 3633.8922658769. The cubic root of 13205173 is about 236.3640185712.

It can be divided in two parts, 1320 and 5173, that multiplied together give a triangular number (6828360 = T₃₆₉₅).

The spelling of 13205173 in words is "thirteen million, two hundred five thousand, one hundred seventy-three".