13705967 has 8 divisors (see below), whose sum is σ = 15071232. Its totient is φ = 12360600.

The previous prime is 13705963. The next prime is 13705997. The reversal of 13705967 is 76950731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13705967 - 2² = 13705963 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13705967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3509 + ... + 6302.

It is an arithmetic number, because the mean of its divisors is an integer number (1883904).

Almost surely, 2^13705967 is an apocalyptic number.

13705967 is a deficient number, since it is larger than the sum of its proper divisors (1365265).

13705967 is a wasteful number, since it uses less digits than its factorization.

13705967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9949.

The product of its (nonzero) digits is 39690, while the sum is 38.

The square root of 13705967 is about 3702.1570739233. The cubic root of 13705967 is about 239.3149853297.

It can be divided in two parts, 1370 and 5967, that added together give a palindrome (7337).

The spelling of 13705967 in words is "thirteen million, seven hundred five thousand, nine hundred sixty-seven".