83209505 has 16 divisors (see below), whose sum is σ = 102345984. Its totient is φ = 64915200.

The previous prime is 83209499. The next prime is 83209507. The reversal of 83209505 is 50590238.

It is a happy number.

It is not a de Polignac number, because 83209505 - 2⁸ = 83209249 is a prime.

It is a super-3 number, since 3×83209505³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83209507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93794 + ... + 94676.

It is an arithmetic number, because the mean of its divisors is an integer number (6396624).

Almost surely, 2^83209505 is an apocalyptic number.

It is an amenable number.

83209505 is a deficient number, since it is larger than the sum of its proper divisors (19136479).

83209505 is a wasteful number, since it uses less digits than its factorization.

83209505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 83209505 is about 9121.9244131926. The cubic root of 83209505 is about 436.5737770936.

The spelling of 83209505 in words is "eighty-three million, two hundred nine thousand, five hundred five".