83526 has 8 divisors (see below), whose sum is σ = 167064. Its totient is φ = 27840.

The previous prime is 83497. The next prime is 83537. The reversal of 83526 is 62538.

83526 = 143² + 144² + ... + 146².

83526 is nontrivially palindromic in base 5 and base 14.

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

83526 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 83496 and 83505.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83526.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6955 + ... + 6966.

It is an arithmetic number, because the mean of its divisors is an integer number (20883).

2⁸³⁵²⁶ is an apocalyptic number.

83526 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83532).

83526 is a wasteful number, since it uses less digits than its factorization.

83526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13926.

The product of its digits is 1440, while the sum is 24.

The square root of 83526 is about 289.0086503896. The cubic root of 83526 is about 43.7126592952.

It can be divided in two parts, 835 and 26, that added together give a triangular number (861 = T₄₁).

The spelling of 83526 in words is "eighty-three thousand, five hundred twenty-six".