77233033 has 2 divisors, whose sum is σ = 77233034. Its totient is φ = 77233032.

The previous prime is 77233021. The next prime is 77233069. The reversal of 77233033 is 33033277.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61968384 + 15264649 = 7872^2 + 3907^2 .

It is a cyclic number.

It is not a de Polignac number, because 77233033 - 2⁹ = 77232521 is a prime.

It is equal to p_4517407 and since 77233033 and 4517407 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 77232992 and 77233010.

It is not a weakly prime, because it can be changed into another prime (77233073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38616516 + 38616517.

It is an arithmetic number, because the mean of its divisors is an integer number (38616517).

Almost surely, 2^77233033 is an apocalyptic number.

It is an amenable number.

77233033 is a deficient number, since it is larger than the sum of its proper divisors (1).

77233033 is an equidigital number, since it uses as much as digits as its factorization.

77233033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938, while the sum is 28.

The square root of 77233033 is about 8788.2326437117. The cubic root of 77233033 is about 425.8608305418.

The spelling of 77233033 in words is "seventy-seven million, two hundred thirty-three thousand, thirty-three".