385777201 has 2 divisors, whose sum is σ = 385777202. Its totient is φ = 385777200.

The previous prime is 385777199. The next prime is 385777253. The reversal of 385777201 is 102777583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 380250000 + 5527201 = 19500^2 + 2351^2 .

It is a cyclic number.

It is not a de Polignac number, because 385777201 - 2¹ = 385777199 is a prime.

It is a super-2 number, since 2×385777201² = 297648097622788802, which contains 22 as substring.

Together with 385777199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (385777901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192888600 + 192888601.

It is an arithmetic number, because the mean of its divisors is an integer number (192888601).

Almost surely, 2^385777201 is an apocalyptic number.

It is an amenable number.

385777201 is a deficient number, since it is larger than the sum of its proper divisors (1).

385777201 is an equidigital number, since it uses as much as digits as its factorization.

385777201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 385777201 is about 19641.2118007011. The cubic root of 385777201 is about 727.9678271667.

The spelling of 385777201 in words is "three hundred eighty-five million, seven hundred seventy-seven thousand, two hundred one".