838585 has 16 divisors (see below), whose sum is σ = 1117440. Its totient is φ = 599040.

The previous prime is 838583. The next prime is 838589. The reversal of 838585 is 585838.

It is not a de Polignac number, because 838585 - 2¹ = 838583 is a prime.

It is an alternating number because its digits alternate between even and odd.

838585 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (838583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4249 + ... + 4441.

It is an arithmetic number, because the mean of its divisors is an integer number (69840).

2⁸³⁸⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

838585 is a deficient number, since it is larger than the sum of its proper divisors (278855).

838585 is a wasteful number, since it uses less digits than its factorization.

838585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 38400, while the sum is 37.

The square root of 838585 is about 915.7428678401. The cubic root of 838585 is about 94.3008693773.

It can be divided in two parts, 83 and 8585, that added together give a palindrome (8668).

The spelling of 838585 in words is "eight hundred thirty-eight thousand, five hundred eighty-five".