10209819 has 16 divisors (see below), whose sum is σ = 14137344. Its totient is φ = 6547200.

The previous prime is 10209803. The next prime is 10209863. The reversal of 10209819 is 91890201.

It is not a de Polignac number, because 10209819 - 2⁴ = 10209803 is a prime.

It is a super-2 number, since 2×10209819² = 208480808025522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10209119) 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 15 ways as a sum of consecutive naturals, for example, 28747 + ... + 29099.

It is an arithmetic number, because the mean of its divisors is an integer number (883584).

Almost surely, 2^10209819 is an apocalyptic number.

10209819 is a deficient number, since it is larger than the sum of its proper divisors (3927525).

10209819 is a wasteful number, since it uses less digits than its factorization.

10209819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698.

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 10209819 is about 3195.2807388397. The cubic root of 10209819 is about 216.9398560553.

The spelling of 10209819 in words is "ten million, two hundred nine thousand, eight hundred nineteen".