83529 has 6 divisors (see below), whose sum is σ = 120666. Its totient is φ = 55680.

The previous prime is 83497. The next prime is 83537. The reversal of 83529 is 92538.

It can be written as a sum of positive squares in only one way, i.e., 81225 + 2304 = 285^2 + 48^2 .

It is not a de Polignac number, because 83529 - 2⁵ = 83497 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4632 + ... + 4649.

It is an arithmetic number, because the mean of its divisors is an integer number (20111).

2⁸³⁵²⁹ is an apocalyptic number.

It is an amenable number.

83529 is a deficient number, since it is larger than the sum of its proper divisors (37137).

83529 is a wasteful number, since it uses less digits than its factorization.

83529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9287 (or 9284 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 83529 is about 289.0138404990. The cubic root of 83529 is about 43.7131826308.

Subtracting 83529 from its reverse (92538), we obtain a palindrome (9009).

The spelling of 83529 in words is "eighty-three thousand, five hundred twenty-nine".