78233 has 2 divisors, whose sum is σ = 78234. Its totient is φ = 78232.

The previous prime is 78229. The next prime is 78241. The reversal of 78233 is 33287.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 34969 = 208^2 + 187^2 .

It is an emirp because it is prime and its reverse (33287) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 78233 - 2² = 78229 is a prime.

It is a super-2 number, since 2×78233² = 12240804578, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 78199 and 78208.

It is not a weakly prime, because it can be changed into another prime (78203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39116 + 39117.

It is an arithmetic number, because the mean of its divisors is an integer number (39117).

2⁷⁸²³³ is an apocalyptic number.

It is an amenable number.

78233 is a deficient number, since it is larger than the sum of its proper divisors (1).

78233 is an equidigital number, since it uses as much as digits as its factorization.

78233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 23.

The square root of 78233 is about 279.7016267382. The cubic root of 78233 is about 42.7690885195.

Subtracting from 78233 its sum of digits (23), we obtain a triangular number (78210 = T₃₉₅).

The spelling of 78233 in words is "seventy-eight thousand, two hundred thirty-three".