• 93 can be written using four 4's:

93 has 4 divisors (see below), whose sum is σ = 128. Its totient is φ = 60.

The previous prime is 89. The next prime is 97. The reversal of 93 is 39.

93 is nontrivially palindromic in base 2 and base 5.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 39 = 3 ⋅13.

It is an interprime number because it is at equal distance from previous prime (89) and next prime (97).

It is not a de Polignac number, because 93 - 2^{2} = 89 is a prime.

93 is an idoneal number.

It is a D-number.

It is a cake number, because a cake can be divided into 93 parts by 8 planar cuts.

It is a Duffinian number.

93 is a lucky number.

93 is a nontrivial repdigit in base 5.

It is a plaindrome in base 5, base 6, base 8, base 9, base 12, base 14 and base 16.

It is a nialpdrome in base 5, base 10, base 11, base 13 and base 15.

It is a zygodrome in base 5.

It is a congruent number.

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 in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 18.

It is an arithmetic number, because the mean of its divisors is an integer number (32).

It is an amenable number.

93 is a deficient number, since it is larger than the sum of its proper divisors (35).

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

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

The sum of its prime factors is 34.

The product of its digits is 27, while the sum is 12.

The square root of 93 is about 9.6436507610. The cubic root of 93 is about 4.5306548961.

Adding to 93 its sum of digits (12), we get a triangular number (105 = T_{14}).

Subtracting from 93 its sum of digits (12), we obtain a 4-th power (81 = 3^{4}).

Adding to 93 its product of digits (27), we get a triangular number (120 = T_{15}).

Subtracting from 93 its product of digits (27), we obtain a palindrome (66).

The spelling of 93 in words is "ninety-three", and thus it is an aban number, an oban number, and an uban number.

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