83263609 has 24 divisors (see below), whose sum is σ = 100935296. Its totient is φ = 68191200.

The previous prime is 83263589. The next prime is 83263627. The reversal of 83263609 is 90636238.

It is a happy number.

It is not a de Polignac number, because 83263609 - 2¹⁷ = 83132537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83263679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67024 + ... + 68254.

Almost surely, 2^83263609 is an apocalyptic number.

It is an amenable number.

83263609 is a deficient number, since it is larger than the sum of its proper divisors (17671687).

83263609 is a wasteful number, since it uses less digits than its factorization.

83263609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 83263609 is about 9124.8895335779. The cubic root of 83263609 is about 436.6683787461.

It can be divided in two parts, 8326 and 3609, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 83263609 in words is "eighty-three million, two hundred sixty-three thousand, six hundred nine".