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52937 is a prime number
BaseRepresentation
bin1100111011001001
32200121122
430323021
53143222
61045025
7310223
oct147311
980548
1052937
1136855
1226775
131b131
1415413
1510a42
hexcec9

52937 has 2 divisors, whose sum is σ = 52938. Its totient is φ = 52936.

The previous prime is 52919. The next prime is 52951. The reversal of 52937 is 73925.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48841 + 4096 = 221^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 52937 - 210 = 51913 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52937.

It is not a weakly prime, because it can be changed into another prime (52957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26468 + 26469.

It is an arithmetic number, because the mean of its divisors is an integer number (26469).

252937 is an apocalyptic number.

It is an amenable number.

52937 is a deficient number, since it is larger than the sum of its proper divisors (1).

52937 is an equidigital number, since it uses as much as digits as its factorization.

52937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 26.

The square root of 52937 is about 230.0804207228. The cubic root of 52937 is about 37.5479682447.

It can be divided in two parts, 52 and 937, that added together give a palindrome (989).

The spelling of 52937 in words is "fifty-two thousand, nine hundred thirty-seven".