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58327 = 174773
BaseRepresentation
bin1110001111010111
32222000021
432033113
53331302
61130011
7332023
oct161727
988007
1058327
113a905
1229907
1320719
1417383
1512437
hexe3d7

58327 has 8 divisors (see below), whose sum is σ = 63936. Its totient is φ = 52992.

The previous prime is 58321. The next prime is 58337. The reversal of 58327 is 72385.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58327 - 27 = 58199 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

58327 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763 + ... + 835.

It is an arithmetic number, because the mean of its divisors is an integer number (7992).

258327 is an apocalyptic number.

58327 is a deficient number, since it is larger than the sum of its proper divisors (5609).

58327 is a wasteful number, since it uses less digits than its factorization.

58327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

The product of its digits is 1680, while the sum is 25.

The square root of 58327 is about 241.5098341683. The cubic root of 58327 is about 38.7813759061.

The spelling of 58327 in words is "fifty-eight thousand, three hundred twenty-seven".

Divisors: 1 17 47 73 799 1241 3431 58327