13205693 has 2 divisors, whose sum is σ = 13205694. Its totient is φ = 13205692.

The previous prime is 13205683. The next prime is 13205711. The reversal of 13205693 is 39650231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9375844 + 3829849 = 3062^2 + 1957^2 .

It is a cyclic number.

It is not a de Polignac number, because 13205693 - 2¹⁶ = 13140157 is a prime.

It is a super-2 number, since 2×13205693² = 348780655220498, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13205603) 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 as a sum of consecutive naturals, namely, 6602846 + 6602847.

It is an arithmetic number, because the mean of its divisors is an integer number (6602847).

Almost surely, 2^13205693 is an apocalyptic number.

It is an amenable number.

13205693 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205693 is an equidigital number, since it uses as much as digits as its factorization.

13205693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 13205693 is about 3633.9638137989. The cubic root of 13205693 is about 236.3671210845.

The spelling of 13205693 in words is "thirteen million, two hundred five thousand, six hundred ninety-three".