10005319 has 4 divisors (see below), whose sum is σ = 10350360. Its totient is φ = 9660280.

The previous prime is 10005293. The next prime is 10005323. The reversal of 10005319 is 91350001.

10005319 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 91350001 = 61 ⋅1497541.

It is a cyclic number.

It is not a de Polignac number, because 10005319 - 2¹⁵ = 9972551 is a prime.

It is a super-2 number, since 2×10005319² = 200212816583522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10005296 and 10005305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172477 + ... + 172534.

It is an arithmetic number, because the mean of its divisors is an integer number (2587590).

Almost surely, 2^10005319 is an apocalyptic number.

10005319 is a deficient number, since it is larger than the sum of its proper divisors (345041).

10005319 is an equidigital number, since it uses as much as digits as its factorization.

10005319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345040.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 10005319 is about 3163.1185561088. The cubic root of 10005319 is about 215.4816603597.

The spelling of 10005319 in words is "ten million, five thousand, three hundred nineteen".