838383 has 32 divisors (see below), whose sum is σ = 1430016. Its totient is φ = 425088.

The previous prime is 838379. The next prime is 838391. The reversal of 838383 is 383838.

It is a happy number.

It is not a de Polignac number, because 838383 - 2² = 838379 is a prime.

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

838383 is an undulating number in base 10.

838383 is a modest number, since divided by 8383 gives 83 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10060 + ... + 10142.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

2⁸³⁸³⁸³ is an apocalyptic number.

838383 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

838383 is a deficient number, since it is larger than the sum of its proper divisors (591633).

838383 is a wasteful number, since it uses less digits than its factorization.

838383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its digits is 13824, while the sum is 33.

The square root of 838383 is about 915.6325682281. The cubic root of 838383 is about 94.2932969764.

Adding to 838383 its reverse (383838), we get a palindrome (1222221).

It can be divided in two parts, 838 and 383, that added together give a palindrome (1221).

The spelling of 838383 in words is "eight hundred thirty-eight thousand, three hundred eighty-three".