84270 has 24 divisors (see below), whose sum is σ = 206136. Its totient is φ = 22048.

The previous prime is 84263. The next prime is 84299. The reversal of 84270 is 7248.

It is a happy number.

It is a Curzon number.

It is a plaindrome in base 8.

It is a congruent number.

It is an unprimeable number.

84270 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 11 ways as a sum of consecutive naturals, for example, 1564 + ... + 1616.

It is an arithmetic number, because the mean of its divisors is an integer number (8589).

2⁸⁴²⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103068).

84270 is an abundant number, since it is smaller than the sum of its proper divisors (121866).

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

84270 is a wasteful number, since it uses less digits than its factorization.

84270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 84270 is about 290.2929554777. The cubic root of 84270 is about 43.8420646327.

It can be divided in two parts, 8 and 4270, that added together give a triangular number (4278 = T₉₂).

The spelling of 84270 in words is "eighty-four thousand, two hundred seventy".