8385289 has 16 divisors (see below), whose sum is σ = 9823680. Its totient is φ = 7076160.

The previous prime is 8385281. The next prime is 8385331. The reversal of 8385289 is 9825838.

8385289 = 87² + 88² + ... + 295².

It is a cyclic number.

It is not a de Polignac number, because 8385289 - 2³ = 8385281 is a prime.

It is a super-2 number, since 2×8385289² = 140626143227042, which contains 22 as substring.

It is a Duffinian number.

8385289 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8385281) 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, 10699 + ... + 11455.

It is an arithmetic number, because the mean of its divisors is an integer number (613980).

Almost surely, 2^8385289 is an apocalyptic number.

It is an amenable number.

8385289 is a deficient number, since it is larger than the sum of its proper divisors (1438391).

8385289 is a wasteful number, since it uses less digits than its factorization.

8385289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840.

The product of its digits is 138240, while the sum is 43.

The square root of 8385289 is about 2895.7363484958. The cubic root of 8385289 is about 203.1605337125.

The spelling of 8385289 in words is "eight million, three hundred eighty-five thousand, two hundred eighty-nine".