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58031 is a prime number
BaseRepresentation
bin1110001010101111
32221121022
432022233
53324111
61124355
7331121
oct161257
987538
1058031
113a666
12296bb
132054c
1417211
15122db
hexe2af

58031 has 2 divisors, whose sum is σ = 58032. Its totient is φ = 58030.

The previous prime is 58027. The next prime is 58043. The reversal of 58031 is 13085.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 58031 - 22 = 58027 is a prime.

It is a super-2 number, since 2×580312 = 6735193922, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58031.

It is not a weakly prime, because it can be changed into another prime (58061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29015 + 29016.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

258031 is an apocalyptic number.

58031 is a deficient number, since it is larger than the sum of its proper divisors (1).

58031 is an equidigital number, since it uses as much as digits as its factorization.

58031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 58031 is about 240.8962432252. The cubic root of 58031 is about 38.7156615674.

The spelling of 58031 in words is "fifty-eight thousand, thirty-one".