63829 has 8 divisors (see below), whose sum is σ = 69120. Its totient is φ = 58800.

The previous prime is 63823. The next prime is 63839. The reversal of 63829 is 92836.

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

It is a cyclic number.

It is not a de Polignac number, because 63829 - 2⁹ = 63317 is a prime.

It is a Duffinian number.

63829 is a lucky number.

It is a nialpdrome in base 4 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 63797 and 63806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63823) 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, 864 + ... + 934.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2⁶³⁸²⁹ is an apocalyptic number.

It is an amenable number.

63829 is a deficient number, since it is larger than the sum of its proper divisors (5291).

63829 is a wasteful number, since it uses less digits than its factorization.

63829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131.

The product of its digits is 2592, while the sum is 28.

The square root of 63829 is about 252.6440183341. The cubic root of 63829 is about 39.9643432243.

The spelling of 63829 in words is "sixty-three thousand, eight hundred twenty-nine".