82743309 has 96 divisors (see below), whose sum is σ = 149811200. Its totient is φ = 44906400.

The previous prime is 82743263. The next prime is 82743337. The reversal of 82743309 is 90334728.

It is not a de Polignac number, because 82743309 - 2⁸ = 82743053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82743209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1924242 + ... + 1924284.

Almost surely, 2^82743309 is an apocalyptic number.

It is an amenable number.

82743309 is a deficient number, since it is larger than the sum of its proper divisors (67067891).

82743309 is a wasteful number, since it uses less digits than its factorization.

82743309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 82743309 is about 9096.3349212746. The cubic root of 82743309 is about 435.7569223426.

The spelling of 82743309 in words is "eighty-two million, seven hundred forty-three thousand, three hundred nine".