73829 has 8 divisors (see below), whose sum is σ = 86400. Its totient is φ = 61776.

The previous prime is 73823. The next prime is 73847. The reversal of 73829 is 92837.

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 73829 - 2¹⁶ = 8293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73823) 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, 272 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2⁷³⁸²⁹ is an apocalyptic number.

It is an amenable number.

73829 is a deficient number, since it is larger than the sum of its proper divisors (12571).

73829 is a wasteful number, since it uses less digits than its factorization.

73829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259.

The product of its digits is 3024, while the sum is 29.

The square root of 73829 is about 271.7149241393. The cubic root of 73829 is about 41.9510010591.

It can be divided in two parts, 738 and 29, that added together give a palindrome (767).

The spelling of 73829 in words is "seventy-three thousand, eight hundred twenty-nine".