• Sorting the digits of 2⁸³⁶ in ascending order we obtain a prime of 225 digits.

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836 has 12 divisors (see below), whose sum is σ = 1680. Its totient is φ = 360.

The previous prime is 829. The next prime is 839. The reversal of 836 is 638.

It is a happy number.

836 is nontrivially palindromic in base 13.

836 is an admirable number.

It is an iccanobiF number.

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

836 is an undulating number in base 13.

836 is a modest number, since divided by 36 gives 8 as remainder.

It is a plaindrome in base 9, base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (839) by changing a digit.

836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35 + ... + 53.

It is an arithmetic number, because the mean of its divisors is an integer number (140).

2⁸³⁶ is an apocalyptic number.

It is an amenable number.

836 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840).

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

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

The sum of its prime factors is 34 (or 32 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 836 is about 28.9136645896. The cubic root of 836 is about 9.4203873185.

It can be divided in two parts, 8 and 36, that added together give a palindrome (44).

The spelling of 836 in words is "eight hundred thirty-six", and thus it is an aban number and an oban number.