84348 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 25200.

The previous prime is 84347. The next prime is 84349.

84348 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (84347) and next prime (84349).

It is a super-2 number, since 2×84348² = 14229170208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84348.

It is not an unprimeable number, because it can be changed into a prime (84347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁸⁴³⁴⁸ 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 84348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

84348 is an abundant number, since it is smaller than the sum of its proper divisors (157572).

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

84348 is a wasteful number, since it uses less digits than its factorization.

84348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 84348 is about 290.4272714467. The cubic root of 84348 is about 43.8555871457.

It can be divided in two parts, 8 and 4348, that added together give a square (4356 = 66²).

The spelling of 84348 in words is "eighty-four thousand, three hundred forty-eight".