82873509 has 16 divisors (see below), whose sum is σ = 114369024. Its totient is φ = 53323200.

The previous prime is 82873499. The next prime is 82873523. The reversal of 82873509 is 90537828.

It is not a de Polignac number, because 82873509 - 2⁴ = 82873493 is a prime.

It is a super-3 number, since 3×82873509³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82873579) 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, 41907 + ... + 43839.

It is an arithmetic number, because the mean of its divisors is an integer number (7148064).

Almost surely, 2^82873509 is an apocalyptic number.

It is an amenable number.

82873509 is a deficient number, since it is larger than the sum of its proper divisors (31495515).

82873509 is a wasteful number, since it uses less digits than its factorization.

82873509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 82873509 is about 9103.4888367043. The cubic root of 82873509 is about 435.9853630442.

The spelling of 82873509 in words is "eighty-two million, eight hundred seventy-three thousand, five hundred nine".