8385273 has 36 divisors (see below), whose sum is σ = 13560300. Its totient is φ = 4987008.

The previous prime is 8385253. The next prime is 8385277. The reversal of 8385273 is 3725838.

8385273 is a `hidden beast` number, since 8 + 385 + 273 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1159929 + 7225344 = 1077^2 + 2688^2 .

It is not a de Polignac number, because 8385273 - 2²² = 4190969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8385277) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56203 + ... + 56351.

It is an arithmetic number, because the mean of its divisors is an integer number (376675).

Almost surely, 2^8385273 is an apocalyptic number.

It is an amenable number.

8385273 is a deficient number, since it is larger than the sum of its proper divisors (5175027).

8385273 is a wasteful number, since it uses less digits than its factorization.

8385273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 8385273 is about 2895.7335858121. The cubic root of 8385273 is about 203.1604044953.

The spelling of 8385273 in words is "eight million, three hundred eighty-five thousand, two hundred seventy-three".