10085319 has 6 divisors (see below), whose sum is σ = 14567696. Its totient is φ = 6723540.

The previous prime is 10085311. The next prime is 10085321. The reversal of 10085319 is 91358001.

It is not a de Polignac number, because 10085319 - 2³ = 10085311 is a prime.

It is a super-4 number, since 4×10085319⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10085292 and 10085301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560287 + ... + 560304.

Almost surely, 2^10085319 is an apocalyptic number.

10085319 is a deficient number, since it is larger than the sum of its proper divisors (4482377).

10085319 is a wasteful number, since it uses less digits than its factorization.

10085319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120597 (or 1120594 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10085319 is about 3175.7391265657. The cubic root of 10085319 is about 216.0544487221.

It can be divided in two parts, 10085 and 319, that added together give a square (10404 = 102²).

The spelling of 10085319 in words is "ten million, eighty-five thousand, three hundred nineteen".