380993 has 4 divisors (see below), whose sum is σ = 383700. Its totient is φ = 378288.

The previous prime is 380983. The next prime is 381001. The reversal of 380993 is 399083.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 399083 = 43 ⋅9281.

It can be written as a sum of positive squares in 2 ways, for example, as 97969 + 283024 = 313^2 + 532^2 .

It is a cyclic number.

It is not a de Polignac number, because 380993 - 2⁴ = 380977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (380983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1130 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (95925).

2³⁸⁰⁹⁹³ is an apocalyptic number.

It is an amenable number.

380993 is a deficient number, since it is larger than the sum of its proper divisors (2707).

380993 is a wasteful number, since it uses less digits than its factorization.

380993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706.

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 380993 is about 617.2463041607. The cubic root of 380993 is about 72.4946012627.

The spelling of 380993 in words is "three hundred eighty thousand, nine hundred ninety-three".