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58329 = 326481
BaseRepresentation
bin1110001111011001
32222000100
432033121
53331304
61130013
7332025
oct161731
988010
1058329
113a907
1229909
132071b
1417385
1512439
hexe3d9

58329 has 6 divisors (see below), whose sum is σ = 84266. Its totient is φ = 38880.

The previous prime is 58321. The next prime is 58337. The reversal of 58329 is 92385.

It is an interprime number because it is at equal distance from previous prime (58321) and next prime (58337).

It can be written as a sum of positive squares in only one way, i.e., 57600 + 729 = 240^2 + 27^2 .

It is not a de Polignac number, because 58329 - 23 = 58321 is a prime.

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

It is a Duffinian number.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3232 + ... + 3249.

258329 is an apocalyptic number.

It is an amenable number.

58329 is a deficient number, since it is larger than the sum of its proper divisors (25937).

58329 is a wasteful number, since it uses less digits than its factorization.

58329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487 (or 6484 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 58329 is about 241.5139747509. The cubic root of 58329 is about 38.7818191649.

Subtracting from 58329 its product of digits (2160), we obtain a square (56169 = 2372).

The spelling of 58329 in words is "fifty-eight thousand, three hundred twenty-nine".

Divisors: 1 3 9 6481 19443 58329