13682071 has 12 divisors (see below), whose sum is σ = 15598920. Its totient is φ = 11962080.

The previous prime is 13682023. The next prime is 13682087. The reversal of 13682071 is 17028631.

13682071 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13682071 - 2¹⁵ = 13649303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13682021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1081 + ... + 5341.

It is an arithmetic number, because the mean of its divisors is an integer number (1299910).

Almost surely, 2^13682071 is an apocalyptic number.

13682071 is a deficient number, since it is larger than the sum of its proper divisors (1916849).

13682071 is a wasteful number, since it uses less digits than its factorization.

13682071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 13682071 is about 3698.9283583222. The cubic root of 13682071 is about 239.1758245889.

The spelling of 13682071 in words is "thirteen million, six hundred eighty-two thousand, seventy-one".