10208349 has 20 divisors (see below), whose sum is σ = 15351996. Its totient is φ = 6759936.

The previous prime is 10208333. The next prime is 10208399. The reversal of 10208349 is 94380201.

It can be written as a sum of positive squares in 2 ways, for example, as 2424249 + 7784100 = 1557^2 + 2790^2 .

It is not a de Polignac number, because 10208349 - 2⁴ = 10208333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10208399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15307 + ... + 15959.

Almost surely, 2^10208349 is an apocalyptic number.

It is an amenable number.

10208349 is a deficient number, since it is larger than the sum of its proper divisors (5143647).

10208349 is an equidigital number, since it uses as much as digits as its factorization.

10208349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10208349 is about 3195.0507038230. The cubic root of 10208349 is about 216.9294439577.

The spelling of 10208349 in words is "ten million, two hundred eight thousand, three hundred forty-nine".