13829137 has 8 divisors (see below), whose sum is σ = 15912000. Its totient is φ = 11773104.

The previous prime is 13829129. The next prime is 13829149. The reversal of 13829137 is 73192831.

13829137 = 49² + 50² + ... + 346².

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

It is not a de Polignac number, because 13829137 - 2³ = 13829129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13829117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5587 + ... + 7672.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000).

Almost surely, 2^13829137 is an apocalyptic number.

It is an amenable number.

13829137 is a deficient number, since it is larger than the sum of its proper divisors (2082863).

13829137 is a wasteful number, since it uses less digits than its factorization.

13829137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13415.

The product of its digits is 9072, while the sum is 34.

The square root of 13829137 is about 3718.7547647028. The cubic root of 13829137 is about 240.0297243277.

The spelling of 13829137 in words is "thirteen million, eight hundred twenty-nine thousand, one hundred thirty-seven".