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32257 is a prime number
BaseRepresentation
bin111111000000001
31122020201
413320001
52013012
6405201
7163021
oct77001
948221
1032257
1122265
1216801
13118b4
14ba81
159857
hex7e01

32257 has 2 divisors, whose sum is σ = 32258. Its totient is φ = 32256.

The previous prime is 32251. The next prime is 32261. The reversal of 32257 is 75223.

It can be divided in two parts, 32 and 257, that added together give a square (289 = 172).

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 7921 = 156^2 + 89^2 .

It is an emirp because it is prime and its reverse (75223) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32257 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (32251) 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, 16128 + 16129.

It is an arithmetic number, because the mean of its divisors is an integer number (16129).

It is a Proth number, since it is equal to 63 ⋅ 29 + 1 and 63 < 29.

232257 is an apocalyptic number.

It is an amenable number.

32257 is a deficient number, since it is larger than the sum of its proper divisors (1).

32257 is an equidigital number, since it uses as much as digits as its factorization.

32257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 19.

The square root of 32257 is about 179.6023385148. The cubic root of 32257 is about 31.8327866162.

The spelling of 32257 in words is "thirty-two thousand, two hundred fifty-seven".