13829562 has 32 divisors (see below), whose sum is σ = 31392000. Its totient is φ = 4510944.

The previous prime is 13829561. The next prime is 13829567. The reversal of 13829562 is 26592831.

13829562 is a `hidden beast` number, since 13 + 82 + 9 + 562 = 666.

13829562 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13829562² = 382513570223688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13829561) 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, 187 + ... + 5262.

It is an arithmetic number, because the mean of its divisors is an integer number (981000).

Almost surely, 2^13829562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13829562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696000).

13829562 is an abundant number, since it is smaller than the sum of its proper divisors (17562438).

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

13829562 is a wasteful number, since it uses less digits than its factorization.

13829562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5501 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 13829562 is about 3718.8119070477. The cubic root of 13829562 is about 240.0321831842.

The spelling of 13829562 in words is "thirteen million, eight hundred twenty-nine thousand, five hundred sixty-two".