84736 has 18 divisors (see below), whose sum is σ = 169652. Its totient is φ = 42240.

The previous prime is 84731. The next prime is 84737. The reversal of 84736 is 63748.

It is not an unprimeable number, because it can be changed into a prime (84731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91 + ... + 421.

2⁸⁴⁷³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84826).

84736 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.

84736 is an equidigital number, since it uses as much as digits as its factorization.

84736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 84736 is about 291.0944863786. The cubic root of 84736 is about 43.9227293944.

It can be divided in two parts, 84 and 736, that added together give a triangular number (820 = T₄₀).

The spelling of 84736 in words is "eighty-four thousand, seven hundred thirty-six".