82800289 has 8 divisors (see below), whose sum is σ = 97276032. Its totient is φ = 69482640.

The previous prime is 82800283. The next prime is 82800301. The reversal of 82800289 is 98200828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82800289 - 2¹³ = 82792097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82800283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289369 + ... + 289654.

It is an arithmetic number, because the mean of its divisors is an integer number (12159504).

Almost surely, 2^82800289 is an apocalyptic number.

It is an amenable number.

82800289 is a deficient number, since it is larger than the sum of its proper divisors (14475743).

82800289 is a wasteful number, since it uses less digits than its factorization.

82800289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579047.

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 82800289 is about 9099.4664129277. The cubic root of 82800289 is about 435.8569253214.

The spelling of 82800289 in words is "eighty-two million, eight hundred thousand, two hundred eighty-nine".