736612801 has 2 divisors, whose sum is σ = 736612802. Its totient is φ = 736612800.

The previous prime is 736612783. The next prime is 736612813. The reversal of 736612801 is 108216637.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 632572801 + 104040000 = 25151^2 + 10200^2 .

It is an emirp because it is prime and its reverse (108216637) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 736612801 - 2⁵ = 736612769 is a prime.

It is not a weakly prime, because it can be changed into another prime (736612831) 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, 368306400 + 368306401.

It is an arithmetic number, because the mean of its divisors is an integer number (368306401).

Almost surely, 2^736612801 is an apocalyptic number.

It is an amenable number.

736612801 is a deficient number, since it is larger than the sum of its proper divisors (1).

736612801 is an equidigital number, since it uses as much as digits as its factorization.

736612801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 736612801 is about 27140.6116548614. The cubic root of 736612801 is about 903.1219975411.

The spelling of 736612801 in words is "seven hundred thirty-six million, six hundred twelve thousand, eight hundred one".