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21348 = 2232593

21348 has 18 divisors (see below), whose sum is σ = 54054. Its totient is φ = 7104.

The previous prime is 21347. The next prime is 21377. The reversal of 21348 is 84312.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 2304 = 138^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 27 + 1 + 39 + 45 + 83 .

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 21348.

It is not an unprimeable number, because it can be changed into a prime (21341) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 261 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (3003).

221348 is an apocalyptic number.

It is an amenable number.

21348 is an abundant number, since it is smaller than the sum of its proper divisors (32706).

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

21348 is a wasteful number, since it uses less digits than its factorization.

21348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 598 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 21348 is about 146.1095479426. The cubic root of 21348 is about 27.7408053297.

The spelling of 21348 in words is "twenty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 593 1186 1779 2372 3558 5337 7116 10674 21348