84264 has 16 divisors (see below), whose sum is σ = 210720. Its totient is φ = 28080.
The previous prime is 84263. The next prime is 84299. The reversal of 84264 is 46248.
It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3511 = 84264 / (8 + 4 + 2 + 6 + 4).
It is a nude number because it is divisible by every one of its digits.
It is a plaindrome in base 14.
It is not an unprimeable number, because it can be changed into a prime (84263) 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, 1732 + ... + 1779.
It is an arithmetic number, because the mean of its divisors is an integer number (13170).
284264 is an apocalyptic number.
It is an amenable number.
84264 is an abundant number, since it is smaller than the sum of its proper divisors (126456).
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 (105360).
84264 is a wasteful number, since it uses less digits than its factorization.
84264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3520 (or 3516 counting only the distinct ones).
The product of its digits is 1536, while the sum is 24.
The square root of 84264 is about 290.2826209059. The cubic root of 84264 is about 43.8410240939.
Subtracting from 84264 its product of digits (1536), we obtain a palindrome (82728).
The spelling of 84264 in words is "eighty-four thousand, two hundred sixty-four".
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