13705197 has 16 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 8019200.

The previous prime is 13705187. The next prime is 13705231. The reversal of 13705197 is 79150731.

It is a cyclic number.

It is not a de Polignac number, because 13705197 - 2¹⁴ = 13688813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6204 + ... + 8117.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^13705197 is an apocalyptic number.

It is an amenable number.

13705197 is a deficient number, since it is larger than the sum of its proper divisors (6918483).

13705197 is a wasteful number, since it uses less digits than its factorization.

13705197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14364.

The product of its (nonzero) digits is 6615, while the sum is 33.

The square root of 13705197 is about 3702.0530790360. The cubic root of 13705197 is about 239.3105036809.

Adding to 13705197 its sum of digits (33), we get a triangular number (13705230 = T₅₂₃₅).

The spelling of 13705197 in words is "thirteen million, seven hundred five thousand, one hundred ninety-seven".