13829216 has 12 divisors (see below), whose sum is σ = 27226332. Its totient is φ = 6914592.

The previous prime is 13829213. The next prime is 13829219. The reversal of 13829216 is 61292831.

It is an interprime number because it is at equal distance from previous prime (13829213) and next prime (13829219).

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 432163 = 13829216 / (1 + 3 + 8 + 2 + 9 + 2 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 216050 + ... + 216113.

It is an arithmetic number, because the mean of its divisors is an integer number (2268861).

Almost surely, 2^13829216 is an apocalyptic number.

13829216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13829216 is a deficient number, since it is larger than the sum of its proper divisors (13397116).

13829216 is an equidigital number, since it uses as much as digits as its factorization.

13829216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432173 (or 432165 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 13829216 is about 3718.7653865228. The cubic root of 13829216 is about 240.0301813895.

The spelling of 13829216 in words is "thirteen million, eight hundred twenty-nine thousand, two hundred sixteen".