385868583 has 32 divisors (see below), whose sum is σ = 584126400. Its totient is φ = 251693568.

The previous prime is 385868573. The next prime is 385868629.

385868583 is a `hidden beast` number, since 3 + 8 + 58 + 6 + 8 + 583 = 666.

385868583 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 385868583 - 2⁵ = 385868551 is a prime.

It is a super-3 number, since 3×385868583³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385868503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269313 + ... + 270741.

It is an arithmetic number, because the mean of its divisors is an integer number (18253950).

Almost surely, 2^385868583 is an apocalyptic number.

385868583 is a deficient number, since it is larger than the sum of its proper divisors (198257817).

385868583 is a wasteful number, since it uses less digits than its factorization.

385868583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 385868583 is about 19643.5379450851. The cubic root of 385868583 is about 728.0253024002.

The spelling of 385868583 in words is "three hundred eighty-five million, eight hundred sixty-eight thousand, five hundred eighty-three".