83535309 has 48 divisors (see below), whose sum is σ = 144877824. Its totient is φ = 45705600.

The previous prime is 83535293. The next prime is 83535337. The reversal of 83535309 is 90353538.

It is not a de Polignac number, because 83535309 - 2⁴ = 83535293 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83530309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59799 + ... + 61179.

It is an arithmetic number, because the mean of its divisors is an integer number (3018288).

Almost surely, 2^83535309 is an apocalyptic number.

It is an amenable number.

83535309 is a deficient number, since it is larger than the sum of its proper divisors (61342515).

83535309 is a wasteful number, since it uses less digits than its factorization.

83535309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 83535309 is about 9139.7652595677. The cubic root of 83535309 is about 437.1428316490.

The spelling of 83535309 in words is "eighty-three million, five hundred thirty-five thousand, three hundred nine".