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84564 = 223629
BaseRepresentation
bin10100101001010100
311022000000
4110221110
510201224
61451300
7501354
oct245124
9138000
1084564
1158597
1240b30
132c64c
1422b64
151a0c9
hex14a54

84564 has 42 divisors (see below), whose sum is σ = 229530. Its totient is φ = 27216.

The previous prime is 84559. The next prime is 84589. The reversal of 84564 is 46548.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 11664 = 270^2 + 108^2 .

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

It is a congruent number.

It is an unprimeable number.

84564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2902 + ... + 2930.

It is an arithmetic number, because the mean of its divisors is an integer number (5465).

284564 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 84564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114765).

84564 is an abundant number, since it is smaller than the sum of its proper divisors (144966).

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

84564 is a wasteful number, since it uses less digits than its factorization.

84564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 34 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 84564 is about 290.7988995853. The cubic root of 84564 is about 43.8929906497.

It can be divided in two parts, 845 and 64, that added together give a palindrome (909).

The spelling of 84564 in words is "eighty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 729 783 972 1044 1458 1566 2349 2916 3132 4698 7047 9396 14094 21141 28188 42282 84564