89829 has 10 divisors (see below), whose sum is σ = 134310. Its totient is φ = 59832.

The previous prime is 89821. The next prime is 89833. The reversal of 89829 is 92898.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 39204 = 225^2 + 198^2 .

It is not a de Polignac number, because 89829 - 2³ = 89821 is a prime.

It is a Curzon number.

89829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 89793 and 89802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89821) 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 9 ways as a sum of consecutive naturals, for example, 474 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (13431).

2⁸⁹⁸²⁹ is an apocalyptic number.

It is an amenable number.

89829 is a deficient number, since it is larger than the sum of its proper divisors (44481).

89829 is a wasteful number, since it uses less digits than its factorization.

89829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1112 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 89829 is about 299.7148644962. The cubic root of 89829 is about 44.7856472411.

The spelling of 89829 in words is "eighty-nine thousand, eight hundred twenty-nine".