17085133 has 16 divisors (see below), whose sum is σ = 18987696. Its totient is φ = 15275520.

The previous prime is 17085109. The next prime is 17085137. The reversal of 17085133 is 33158071.

It can be written as a sum of positive squares in 8 ways, for example, as 2316484 + 14768649 = 1522^2 + 3843^2 .

It is not a de Polignac number, because 17085133 - 2⁹ = 17084621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17085137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94303 + ... + 94483.

It is an arithmetic number, because the mean of its divisors is an integer number (1186731).

Almost surely, 2^17085133 is an apocalyptic number.

17085133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17085133 is a deficient number, since it is larger than the sum of its proper divisors (1902563).

17085133 is a wasteful number, since it uses less digits than its factorization.

17085133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 17085133 is about 4133.4166255049. The cubic root of 17085133 is about 257.5566620524.

The spelling of 17085133 in words is "seventeen million, eighty-five thousand, one hundred thirty-three".