81829 has 8 divisors (see below), whose sum is σ = 91872. Its totient is φ = 72240.

The previous prime is 81817. The next prime is 81839. The reversal of 81829 is 92818.

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

It is not a de Polignac number, because 81829 - 2⁷ = 81701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 81797 and 81806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (11484).

2⁸¹⁸²⁹ is an apocalyptic number.

It is an amenable number.

81829 is a deficient number, since it is larger than the sum of its proper divisors (10043).

81829 is a wasteful number, since it uses less digits than its factorization.

81829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its digits is 1152, while the sum is 28.

The square root of 81829 is about 286.0576864900. The cubic root of 81829 is about 43.4145943966.

The spelling of 81829 in words is "eighty-one thousand, eight hundred twenty-nine".