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21352 = 2317157

21352 has 16 divisors (see below), whose sum is σ = 42660. Its totient is φ = 9984.

The previous prime is 21347. The next prime is 21377. The reversal of 21352 is 25312.

21352 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 21316 + 36 = 146^2 + 6^2 .

It is an unprimeable number.

21352 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 3 ways as a sum of consecutive naturals, for example, 58 + ... + 214.

221352 is an apocalyptic number.

It is an amenable number.

21352 is a deficient number, since it is larger than the sum of its proper divisors (21308).

21352 is a wasteful number, since it uses less digits than its factorization.

21352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its digits is 60, while the sum is 13.

The square root of 21352 is about 146.1232356609. The cubic root of 21352 is about 27.7425378307.

Adding to 21352 its product of digits (60), we get a palindrome (21412).

Adding to 21352 its reverse (25312), we get a palindrome (46664).

It can be divided in two parts, 21 and 352, that added together give a palindrome (373).

The spelling of 21352 in words is "twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 17 34 68 136 157 314 628 1256 2669 5338 10676 21352