• 83 can be written using four 4's:

• 83^{2} = 6889 is the smallest square that contains exactly two digits '8'.

83 has 2 divisors, whose sum is σ = 84. Its totient is φ = 82.

The previous prime is 79. The next prime is 89. The reversal of 83 is 38.

Added to its reverse (38) it gives a square (121 = 11^{2}).

83 = T_{2} + T_{3} + ... +
T_{7}.

83 is nontrivially palindromic in base 5.

83 is an esthetic number in base 8, base 11 and base 13, because in such bases its adjacent digits differ by 1.

It is a weak prime.

83 is a truncatable prime.

Together with 4871 it forms a Wieferich pair.

It is a cyclic number.

It is not a de Polignac number, because 83 - 2^{2} = 79 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a magnanimous number.

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

83 is an undulating number in base 5.

It is a plaindrome in base 7, base 8, base 12, base 14 and base 15.

It is a nialpdrome in base 10, base 11, base 13 and base 16.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41 + 42.

It is an arithmetic number, because the mean of its divisors is an integer number (42).

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

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

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

The product of its digits is 24, while the sum is 11.

The square root of 83 is about 9.1104335791. The cubic root of 83 is about 4.3620706715.

Adding to 83 its reverse (38), we get a palindrome (121).

Subtracting from 83 its reverse (38), we obtain a triangular number (45 = T_{9}).

The spelling of 83 in words is "eighty-three", and thus it is an aban number, an oban number, and an uban number.

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