84700 has 54 divisors (see below), whose sum is σ = 230888. Its totient is φ = 26400.

The previous prime is 84697. The next prime is 84701. The reversal of 84700 is 748.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84701) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7695 + ... + 7705.

2⁸⁴⁷⁰⁰ 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 84700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115444).

84700 is an abundant number, since it is smaller than the sum of its proper divisors (146188).

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

84700 is a wasteful number, since it uses less digits than its factorization.

84700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 84700 is about 291.0326442171. The cubic root of 84700 is about 43.9165083383.

Subtracting from 84700 its sum of digits (19), we obtain a square (84681 = 291²).

It can be divided in two parts, 84 and 700, that added together give a square (784 = 28²).

The spelling of 84700 in words is "eighty-four thousand, seven hundred".