13829627 has 16 divisors (see below), whose sum is σ = 16502784. Its totient is φ = 11340000.

The previous prime is 13829623. The next prime is 13829639. The reversal of 13829627 is 72692831.

It is not a de Polignac number, because 13829627 - 2² = 13829623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13829623) 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, 21602 + ... + 22232.

It is an arithmetic number, because the mean of its divisors is an integer number (1031424).

Almost surely, 2^13829627 is an apocalyptic number.

13829627 is a deficient number, since it is larger than the sum of its proper divisors (2673157).

13829627 is a wasteful number, since it uses less digits than its factorization.

13829627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770.

The product of its digits is 36288, while the sum is 38.

The square root of 13829627 is about 3718.8206463878. The cubic root of 13829627 is about 240.0325592401.

The spelling of 13829627 in words is "thirteen million, eight hundred twenty-nine thousand, six hundred twenty-seven".