77233 has 6 divisors (see below), whose sum is σ = 83814. Its totient is φ = 71136.

The previous prime is 77213. The next prime is 77237. The reversal of 77233 is 33277.

It can be written as a sum of positive squares in 3 ways, for example, as 3249 + 73984 = 57^2 + 272^2 .

It is not a de Polignac number, because 77233 - 2⁵ = 77201 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77237) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60 + ... + 397.

It is an arithmetic number, because the mean of its divisors is an integer number (13969).

2⁷⁷²³³ is an apocalyptic number.

It is an amenable number.

77233 is a deficient number, since it is larger than the sum of its proper divisors (6581).

77233 is a wasteful number, since it uses less digits than its factorization.

77233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its digits is 882, while the sum is 22.

The square root of 77233 is about 277.9082582436. The cubic root of 77233 is about 42.5860769888.

Subtracting from 77233 its reverse (33277), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 77233 in words is "seventy-seven thousand, two hundred thirty-three".