59 has 2 divisors, whose sum is σ = 60. Its totient is φ = 58.

The previous prime is 53. The next prime is 61. The reversal of 59 is 95.

Subtracting from 59 its sum of digits (14), we obtain a triangular number (45 = T_{9}).

Subtracting 59 from its reverse (95), we obtain a triangular number (36 = T_{8}).

59 is nontrivially palindromic in base 4.

59 is an esthetic number in base 4, base 9, base 11 and base 14, because in such bases its adjacent digits differ by 1.

It is a strong prime.

59 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 59 - 2^{4} = 43 is a prime.

Together with 61, it forms a pair of twin primes.

It is a Chen prime.

59 is an undulating number in base 4.

59 is a modest number, since divided by 9 gives 5 as remainder.

It is a plaindrome in base 6, base 7, base 10, base 12, base 13, base 15 and base 16.

It is a nialpdrome in base 8, base 9, base 11 and base 14.

It is a panconsummate number.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29 + 30.

It is an arithmetic number, because the mean of its divisors is an integer number (30).

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

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

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

The product of its digits is 45, while the sum is 14.

The square root of 59 is about 7.6811457479. The cubic root of 59 is about 3.8929964159.

The spelling of 59 in words is "fifty-nine", and thus it is an aban number, an oban number, and an uban number.

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