81233 has 2 divisors, whose sum is σ = 81234. Its totient is φ = 81232.

The previous prime is 81223. The next prime is 81239. The reversal of 81233 is 33218.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 9409 = 268^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 81233 - 2¹⁰ = 80209 is a prime.

It is a plaindrome in base 7 and base 9.

It is not a weakly prime, because it can be changed into another prime (81239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40616 + 40617.

It is an arithmetic number, because the mean of its divisors is an integer number (40617).

2⁸¹²³³ is an apocalyptic number.

It is an amenable number.

81233 is a deficient number, since it is larger than the sum of its proper divisors (1).

81233 is an equidigital number, since it uses as much as digits as its factorization.

81233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 17.

The square root of 81233 is about 285.0140347422. The cubic root of 81233 is about 43.3089343251.

It can be divided in two parts, 812 and 33, that multiplied together give a triangular number (26796 = T₂₃₁).

The spelling of 81233 in words is "eighty-one thousand, two hundred thirty-three".