13829445 has 48 divisors (see below), whose sum is σ = 28060032. Its totient is φ = 6168960.

The previous prime is 13829419. The next prime is 13829461. The reversal of 13829445 is 54492831.

It is not a de Polignac number, because 13829445 - 2⁹ = 13828933 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13035 + ... + 14055.

It is an arithmetic number, because the mean of its divisors is an integer number (584584).

Almost surely, 2^13829445 is an apocalyptic number.

13829445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13829445 is an abundant number, since it is smaller than the sum of its proper divisors (14230587).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13829445 is a wasteful number, since it uses less digits than its factorization.

13829445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1079 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13829445 is about 3718.7961761839. The cubic root of 13829445 is about 240.0315062805.

The spelling of 13829445 in words is "thirteen million, eight hundred twenty-nine thousand, four hundred forty-five".