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20773 is a prime number
BaseRepresentation
bin101000100100101
31001111101
411010211
51131043
6240101
7114364
oct50445
931441
1020773
1114675
1210031
1395bc
1477db
15624d
hex5125

20773 has 2 divisors, whose sum is σ = 20774. Its totient is φ = 20772.

The previous prime is 20771. The next prime is 20789. The reversal of 20773 is 37702.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20449 + 324 = 143^2 + 18^2 .

It is a cyclic number.

It is not a de Polignac number, because 20773 - 21 = 20771 is a prime.

Together with 20771, it forms a pair of twin primes.

20773 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 20773.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10386 + 10387.

It is an arithmetic number, because the mean of its divisors is an integer number (10387).

220773 is an apocalyptic number.

It is an amenable number.

20773 is a deficient number, since it is larger than the sum of its proper divisors (1).

20773 is an equidigital number, since it uses as much as digits as its factorization.

20773 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 20773 is about 144.1284149639. The cubic root of 20773 is about 27.4894725545.

It can be divided in two parts, 2077 and 3, that added together give a triangular number (2080 = T64).

The spelling of 20773 in words is "twenty thousand, seven hundred seventy-three", and thus it is an iban number.