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52673 is a prime number
BaseRepresentation
bin1100110111000001
32200020212
430313001
53141143
61043505
7306365
oct146701
980225
1052673
1136635
1226595
131ac8a
14152a5
1510918
hexcdc1

52673 has 2 divisors, whose sum is σ = 52674. Its totient is φ = 52672.

The previous prime is 52667. The next prime is 52691. The reversal of 52673 is 37625.

52673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 9409 = 208^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 52673 - 26 = 52609 is a prime.

It is not a weakly prime, because it can be changed into another prime (52973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26336 + 26337.

It is an arithmetic number, because the mean of its divisors is an integer number (26337).

252673 is an apocalyptic number.

It is an amenable number.

52673 is a deficient number, since it is larger than the sum of its proper divisors (1).

52673 is an equidigital number, since it uses as much as digits as its factorization.

52673 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 23.

The square root of 52673 is about 229.5059912072. The cubic root of 52673 is about 37.4854462042.

Subtracting from 52673 its sum of digits (23), we obtain a triangular number (52650 = T324).

The spelling of 52673 in words is "fifty-two thousand, six hundred seventy-three".