384761133 has 12 divisors (see below), whose sum is σ = 558648220. Its totient is φ = 255177216.

The previous prime is 384761107. The next prime is 384761149. The reversal of 384761133 is 331167483.

384761133 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 611 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105637284 + 279123849 = 10278^2 + 16707^2 .

It is not a de Polignac number, because 384761133 - 2¹⁴ = 384744749 is a prime.

It is a super-2 number, since 2×384761133² = 296082258934887378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384761233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109018 + ... + 112491.

Almost surely, 2^384761133 is an apocalyptic number.

It is an amenable number.

384761133 is a deficient number, since it is larger than the sum of its proper divisors (173887087).

384761133 is a wasteful number, since it uses less digits than its factorization.

384761133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221708 (or 221705 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 384761133 is about 19615.3290311430. The cubic root of 384761133 is about 727.3281529837.

It can be divided in two parts, 3847 and 61133, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 384761133 in words is "three hundred eighty-four million, seven hundred sixty-one thousand, one hundred thirty-three".