123736801 has 2 divisors, whose sum is σ = 123736802. Its totient is φ = 123736800.

The previous prime is 123736777. The next prime is 123736819. The reversal of 123736801 is 108637321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66341025 + 57395776 = 8145^2 + 7576^2 .

It is a cyclic number.

It is not a de Polignac number, because 123736801 - 2¹⁵ = 123704033 is a prime.

It is not a weakly prime, because it can be changed into another prime (123736861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61868400 + 61868401.

It is an arithmetic number, because the mean of its divisors is an integer number (61868401).

Almost surely, 2^123736801 is an apocalyptic number.

It is an amenable number.

123736801 is a deficient number, since it is larger than the sum of its proper divisors (1).

123736801 is an equidigital number, since it uses as much as digits as its factorization.

123736801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 123736801 is about 11123.7044638915. The cubic root of 123736801 is about 498.3100290988.

The spelling of 123736801 in words is "one hundred twenty-three million, seven hundred thirty-six thousand, eight hundred one".