123577081 has 2 divisors, whose sum is σ = 123577082. Its totient is φ = 123577080.

The previous prime is 123577057. The next prime is 123577087. The reversal of 123577081 is 180775321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123543225 + 33856 = 11115^2 + 184^2 .

It is an emirp because it is prime and its reverse (180775321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123577081 - 2¹¹ = 123575033 is a prime.

It is a super-2 number, since 2×123577081² = 30542589896961122, which contains 22 as substring.

It is equal to p_7033669 and since 123577081 and 7033669 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (123577087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61788540 + 61788541.

It is an arithmetic number, because the mean of its divisors is an integer number (61788541).

Almost surely, 2^123577081 is an apocalyptic number.

It is an amenable number.

123577081 is a deficient number, since it is larger than the sum of its proper divisors (1).

123577081 is an equidigital number, since it uses as much as digits as its factorization.

123577081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 123577081 is about 11116.5228826284. The cubic root of 123577081 is about 498.0955298637.

Subtracting from 123577081 its product of nonzero digits (11760), we obtain a palindrome (123565321).

The spelling of 123577081 in words is "one hundred twenty-three million, five hundred seventy-seven thousand, eighty-one".