87836 has 12 divisors (see below), whose sum is σ = 175728. Its totient is φ = 37632.

The previous prime is 87833. The next prime is 87853. The reversal of 87836 is 63878.

87836 = 109^{2} + 110^{2} + ... + 115^{2}.

87836 is an admirable number.

It is an Ulam number.

It is a d-powerful number, because it can be written as **8**^{5} + **7**^{4} + **8**^{5} + **3**^{9} + **6**^{3} .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87833) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1541 + ... + 1596.

It is an arithmetic number, because the mean of its divisors is an integer number (14644).

It is the magic constant of a 56 × 56 magic square.

2^{87836} is an apocalyptic number.

It is an amenable number.

87836 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87864).

87836 is a wasteful number, since it uses less digits than its factorization.

87836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3146 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 87836 is about 296.3713886326. The cubic root of 87836 is about 44.4519533609.

The spelling of 87836 in words is "eighty-seven thousand, eight hundred thirty-six".

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