123661033 has 2 divisors, whose sum is σ = 123661034. Its totient is φ = 123661032.

The previous prime is 123660989. The next prime is 123661039. The reversal of 123661033 is 330166321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65092624 + 58568409 = 8068^2 + 7653^2 .

It is an emirp because it is prime and its reverse (330166321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123661033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123660989 and 123661007.

It is not a weakly prime, because it can be changed into another prime (123661039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61830516 + 61830517.

It is an arithmetic number, because the mean of its divisors is an integer number (61830517).

Almost surely, 2^123661033 is an apocalyptic number.

It is an amenable number.

123661033 is a deficient number, since it is larger than the sum of its proper divisors (1).

123661033 is an equidigital number, since it uses as much as digits as its factorization.

123661033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 123661033 is about 11120.2982424034. The cubic root of 123661033 is about 498.2082979431.

The spelling of 123661033 in words is "one hundred twenty-three million, six hundred sixty-one thousand, thirty-three".