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58369 is a prime number
BaseRepresentation
bin1110010000000001
32222001211
432100001
53331434
61130121
7332113
oct162001
988054
1058369
113a943
1229941
132074c
14173b3
1512464
hexe401

58369 has 2 divisors, whose sum is σ = 58370. Its totient is φ = 58368.

The previous prime is 58367. The next prime is 58379. The reversal of 58369 is 96385.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 7744 = 225^2 + 88^2 .

It is a cyclic number.

It is not a de Polignac number, because 58369 - 21 = 58367 is a prime.

It is a super-2 number, since 2×583692 = 6813880322, which contains 22 as substring.

Together with 58367, it forms a pair of twin primes.

It is a Chen prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58369.

It is not a weakly prime, because it can be changed into another prime (58363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29184 + 29185.

It is an arithmetic number, because the mean of its divisors is an integer number (29185).

It is a Proth number, since it is equal to 57 ⋅ 210 + 1 and 57 < 210.

258369 is an apocalyptic number.

It is an amenable number.

58369 is a deficient number, since it is larger than the sum of its proper divisors (1).

58369 is an equidigital number, since it uses as much as digits as its factorization.

58369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 31.

The square root of 58369 is about 241.5967715016. The cubic root of 58369 is about 38.7906822136.

The spelling of 58369 in words is "fifty-eight thousand, three hundred sixty-nine".