13205149 has 2 divisors, whose sum is σ = 13205150. Its totient is φ = 13205148.

The previous prime is 13205147. The next prime is 13205173. The reversal of 13205149 is 94150231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10125124 + 3080025 = 3182^2 + 1755^2 .

It is a cyclic number.

It is not a de Polignac number, because 13205149 - 2¹ = 13205147 is a prime.

It is a super-2 number, since 2×13205149² = 348751920224402, which contains 22 as substring.

Together with 13205147, it forms a pair of twin primes.

It is equal to p₈₆₁₇₂₁ and since 13205149 and 861721 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13205147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6602574 + 6602575.

It is an arithmetic number, because the mean of its divisors is an integer number (6602575).

Almost surely, 2^13205149 is an apocalyptic number.

It is an amenable number.

13205149 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205149 is an equidigital number, since it uses as much as digits as its factorization.

13205149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 13205149 is about 3633.8889636311. Note that the first 3 decimals coincide. The cubic root of 13205149 is about 236.3638753763.

The spelling of 13205149 in words is "thirteen million, two hundred five thousand, one hundred forty-nine".