380133 has 30 divisors (see below), whose sum is σ = 645414. Its totient is φ = 221616.

The previous prime is 380131. The next prime is 380141. The reversal of 380133 is 331083.

It can be written as a sum of positive squares in only one way, i.e., 263169 + 116964 = 513^2 + 342^2 .

It is not a de Polignac number, because 380133 - 2¹ = 380131 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380131) 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 in 29 ways as a sum of consecutive naturals, for example, 19998 + ... + 20016.

2³⁸⁰¹³³ is an apocalyptic number.

It is an amenable number.

380133 is a deficient number, since it is larger than the sum of its proper divisors (265281).

380133 is a wasteful number, since it uses less digits than its factorization.

380133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 380133 is about 616.5492681043. The cubic root of 380133 is about 72.4400137979.

The spelling of 380133 in words is "three hundred eighty thousand, one hundred thirty-three".