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58337 is a prime number
BaseRepresentation
bin1110001111100001
32222000122
432033201
53331322
61130025
7332036
oct161741
988018
1058337
113a914
1229915
1320726
141738d
1512442
hexe3e1

58337 has 2 divisors, whose sum is σ = 58338. Its totient is φ = 58336.

The previous prime is 58321. The next prime is 58363. The reversal of 58337 is 73385.

It is an a-pointer prime, because the next prime (58363) can be obtained adding 58337 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58081 + 256 = 241^2 + 16^2 .

It is a cyclic number.

It is not a de Polignac number, because 58337 - 24 = 58321 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (58367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29168 + 29169.

It is an arithmetic number, because the mean of its divisors is an integer number (29169).

258337 is an apocalyptic number.

It is an amenable number.

58337 is a deficient number, since it is larger than the sum of its proper divisors (1).

58337 is an equidigital number, since it uses as much as digits as its factorization.

58337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 26.

The square root of 58337 is about 241.5305363717. The cubic root of 58337 is about 38.7835920987.

Subtracting from 58337 its sum of digits (26), we obtain a triangular number (58311 = T341).

The spelling of 58337 in words is "fifty-eight thousand, three hundred thirty-seven".