123766033 has 2 divisors, whose sum is σ = 123766034. Its totient is φ = 123766032.

The previous prime is 123766007. The next prime is 123766037. The reversal of 123766033 is 330667321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81866304 + 41899729 = 9048^2 + 6473^2 .

It is an emirp because it is prime and its reverse (330667321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123766033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123765986 and 123766004.

It is not a weakly prime, because it can be changed into another prime (123766037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61883016 + 61883017.

It is an arithmetic number, because the mean of its divisors is an integer number (61883017).

Almost surely, 2^123766033 is an apocalyptic number.

It is an amenable number.

123766033 is a deficient number, since it is larger than the sum of its proper divisors (1).

123766033 is an equidigital number, since it uses as much as digits as its factorization.

123766033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 31.

The square root of 123766033 is about 11125.0183370635. The cubic root of 123766033 is about 498.3492668241.

The spelling of 123766033 in words is "one hundred twenty-three million, seven hundred sixty-six thousand, thirty-three".