772333 has 2 divisors, whose sum is σ = 772334. Its totient is φ = 772332.

The previous prime is 772313. The next prime is 772339. The reversal of 772333 is 333277.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 499849 + 272484 = 707^2 + 522^2 .

It is a cyclic number.

It is not a de Polignac number, because 772333 - 2¹⁷ = 641261 is a prime.

772333 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 772298 and 772307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (772339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386166 + 386167.

It is an arithmetic number, because the mean of its divisors is an integer number (386167).

2⁷⁷²³³³ is an apocalyptic number.

It is an amenable number.

772333 is a deficient number, since it is larger than the sum of its proper divisors (1).

772333 is an equidigital number, since it uses as much as digits as its factorization.

772333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2646, while the sum is 25.

The square root of 772333 is about 878.8247834466. The cubic root of 772333 is about 91.7490403719.

The spelling of 772333 in words is "seven hundred seventy-two thousand, three hundred thirty-three".