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42337 is a prime number
BaseRepresentation
bin1010010101100001
32011002001
422111201
52323322
6524001
7234301
oct122541
964061
1042337
1129899
1220601
1316369
1411601
15c827
hexa561

42337 has 2 divisors, whose sum is σ = 42338. Its totient is φ = 42336.

The previous prime is 42331. The next prime is 42349. The reversal of 42337 is 73324.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40401 + 1936 = 201^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 42337 - 27 = 42209 is a prime.

It is not a weakly prime, because it can be changed into another prime (42331) 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, 21168 + 21169.

It is an arithmetic number, because the mean of its divisors is an integer number (21169).

242337 is an apocalyptic number.

It is an amenable number.

42337 is a deficient number, since it is larger than the sum of its proper divisors (1).

42337 is an equidigital number, since it uses as much as digits as its factorization.

42337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 19.

The square root of 42337 is about 205.7595684288. The cubic root of 42337 is about 34.8529888128.

It can be divided in two parts, 423 and 37, that multiplied together give a palindrome (15651).

The spelling of 42337 in words is "forty-two thousand, three hundred thirty-seven".