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20353 is a prime number
BaseRepresentation
bin100111110000001
31000220211
410332001
51122403
6234121
7113224
oct47601
930824
1020353
1114323
12b941
139358
1475bb
15606d
hex4f81

20353 has 2 divisors, whose sum is σ = 20354. Its totient is φ = 20352.

The previous prime is 20347. The next prime is 20357. The reversal of 20353 is 35302.

Adding to 20353 its reverse (35302), we get a palindrome (55655).

It can be divided in two parts, 2035 and 3, that multiplied together give a triangular number (6105 = T110).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16384 + 3969 = 128^2 + 63^2 .

It is a cyclic number.

It is not a de Polignac number, because 20353 - 29 = 19841 is a prime.

20353 is a lucky number.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (20357) 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 as a sum of consecutive naturals, namely, 10176 + 10177.

It is an arithmetic number, because the mean of its divisors is an integer number (10177).

220353 is an apocalyptic number.

It is an amenable number.

20353 is a deficient number, since it is larger than the sum of its proper divisors (1).

20353 is an equidigital number, since it uses as much as digits as its factorization.

20353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 20353 is about 142.6639407839. The cubic root of 20353 is about 27.3029439503.

The spelling of 20353 in words is "twenty thousand, three hundred fifty-three".