10208385 has 48 divisors (see below), whose sum is σ = 19813248. Its totient is φ = 4819200.

The previous prime is 10208333. The next prime is 10208399. The reversal of 10208385 is 58380201.

It is a happy number.

10208385 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10208385 - 2¹⁴ = 10192001 is a prime.

It is a super-2 number, since 2×10208385² = 208422248616450, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20044 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^10208385 is an apocalyptic number.

10208385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10208385 is the 1845-th octagonal number.

It is an amenable number.

10208385 is a deficient number, since it is larger than the sum of its proper divisors (9604863).

10208385 is a wasteful number, since it uses less digits than its factorization.

10208385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10208385 is about 3195.0563375315. The cubic root of 10208385 is about 216.9296989598.

Adding to 10208385 its reverse (58380201), we get a palindrome (68588586).

The spelling of 10208385 in words is "ten million, two hundred eight thousand, three hundred eighty-five".