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2084 = 22521
BaseRepresentation
bin100000100100
32212012
4200210
531314
613352
76035
oct4044
92765
102084
111625
121258
13c44
14a8c
1593e
hex824

2084 has 6 divisors (see below), whose sum is σ = 3654. Its totient is φ = 1040.

The previous prime is 2083. The next prime is 2087. The reversal of 2084 is 4802.

Adding to 2084 its reverse (4802), we get a palindrome (6886).

It can be divided in two parts, 208 and 4, that added together give a palindrome (212).

It can be written as a sum of positive squares in only one way, i.e., 1600 + 484 = 40^2 + 22^2 .

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 257 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (609).

It is an amenable number.

2084 is a deficient number, since it is larger than the sum of its proper divisors (1570).

2084 is a wasteful number, since it uses less digits than its factorization.

2084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2084 is about 45.6508488421. The cubic root of 2084 is about 12.7731860558.

The spelling of 2084 in words is "two thousand, eighty-four".

Divisors: 1 2 4 521 1042 2084