381793 has 2 divisors, whose sum is σ = 381794. Its totient is φ = 381792.

The previous prime is 381791. The next prime is 381817. The reversal of 381793 is 397183.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 350464 + 31329 = 592^2 + 177^2 .

It is an emirp because it is prime and its reverse (397183) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 381793 - 2¹ = 381791 is a prime.

Together with 381791, it forms a pair of twin primes.

381793 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (381791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190896 + 190897.

It is an arithmetic number, because the mean of its divisors is an integer number (190897).

2³⁸¹⁷⁹³ is an apocalyptic number.

It is an amenable number.

381793 is a deficient number, since it is larger than the sum of its proper divisors (1).

381793 is an equidigital number, since it uses as much as digits as its factorization.

381793 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 31.

The square root of 381793 is about 617.8940038550. The cubic root of 381793 is about 72.5453065999.

It can be divided in two parts, 3 and 81793, that added together give a square (81796 = 286²).

The spelling of 381793 in words is "three hundred eighty-one thousand, seven hundred ninety-three".