385777233 has 6 divisors (see below), whose sum is σ = 557233794. Its totient is φ = 257184816.

The previous prime is 385777201. The next prime is 385777253. The reversal of 385777233 is 332777583.

385777233 is a `hidden beast` number, since 3 + 8 + 577 + 72 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 326055249 + 59721984 = 18057^2 + 7728^2 .

It is not a de Polignac number, because 385777233 - 2⁵ = 385777201 is a prime.

It is a super-2 number, since 2×385777233² = 297648147002272578, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (385777253) 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 in 5 ways as a sum of consecutive naturals, for example, 21432060 + ... + 21432077.

It is an arithmetic number, because the mean of its divisors is an integer number (92872299).

Almost surely, 2^385777233 is an apocalyptic number.

It is an amenable number.

385777233 is a deficient number, since it is larger than the sum of its proper divisors (171456561).

385777233 is a wasteful number, since it uses less digits than its factorization.

385777233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42864143 (or 42864140 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 385777233 is about 19641.2126153148. The cubic root of 385777233 is about 727.9678472949.

The spelling of 385777233 in words is "three hundred eighty-five million, seven hundred seventy-seven thousand, two hundred thirty-three".