772006033 has 2 divisors, whose sum is σ = 772006034. Its totient is φ = 772006032.

The previous prime is 772006019. The next prime is 772006061. The reversal of 772006033 is 330600277.

It is an a-pointer prime, because the next prime (772006061) can be obtained adding 772006033 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 642774609 + 129231424 = 25353^2 + 11368^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-772006033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 772005992 and 772006010.

It is not a weakly prime, because it can be changed into another prime (772001033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386003016 + 386003017.

It is an arithmetic number, because the mean of its divisors is an integer number (386003017).

Almost surely, 2^772006033 is an apocalyptic number.

It is an amenable number.

772006033 is a deficient number, since it is larger than the sum of its proper divisors (1).

772006033 is an equidigital number, since it uses as much as digits as its factorization.

772006033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 772006033 is about 27784.9965448981. The cubic root of 772006033 is about 917.3609123257.

The spelling of 772006033 in words is "seven hundred seventy-two million, six thousand, thirty-three".