10673585 has 8 divisors (see below), whose sum is σ = 13793640. Its totient is φ = 7881984.

The previous prime is 10673563. The next prime is 10673599. The reversal of 10673585 is 58537601.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 10608049 = 256^2 + 3257^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10673585 - 2⁶ = 10673521 is a prime.

It is a super-2 number, since 2×10673585² = 227850833504450, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 82040 + ... + 82169.

It is an arithmetic number, because the mean of its divisors is an integer number (1724205).

Almost surely, 2^10673585 is an apocalyptic number.

It is an amenable number.

10673585 is a deficient number, since it is larger than the sum of its proper divisors (3120055).

10673585 is a wasteful number, since it uses less digits than its factorization.

10673585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164227.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 10673585 is about 3267.0453011858. The cubic root of 10673585 is about 220.1760642937.

The spelling of 10673585 in words is "ten million, six hundred seventy-three thousand, five hundred eighty-five".