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58417 is a prime number
BaseRepresentation
bin1110010000110001
32222010121
432100301
53332132
61130241
7332212
oct162061
988117
1058417
113a987
1229981
1320788
1417409
1512497
hexe431

58417 has 2 divisors, whose sum is σ = 58418. Its totient is φ = 58416.

The previous prime is 58411. The next prime is 58427. The reversal of 58417 is 71485.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57121 + 1296 = 239^2 + 36^2 .

It is a cyclic number.

It is not a de Polignac number, because 58417 - 211 = 56369 is a prime.

58417 is a lucky number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 58391 and 58400.

It is not a weakly prime, because it can be changed into another prime (58411) 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, 29208 + 29209.

It is an arithmetic number, because the mean of its divisors is an integer number (29209).

258417 is an apocalyptic number.

It is an amenable number.

58417 is a deficient number, since it is larger than the sum of its proper divisors (1).

58417 is an equidigital number, since it uses as much as digits as its factorization.

58417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1120, while the sum is 25.

The square root of 58417 is about 241.6960901628. The cubic root of 58417 is about 38.8013125287.

The spelling of 58417 in words is "fifty-eight thousand, four hundred seventeen".