381393 has 12 divisors (see below), whose sum is σ = 569088. Its totient is φ = 245880.

The previous prime is 381389. The next prime is 381401. The reversal of 381393 is 393183.

It is not a de Polignac number, because 381393 - 2² = 381389 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

381393 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381323) 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, 405 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (47424).

2³⁸¹³⁹³ is an apocalyptic number.

It is an amenable number.

381393 is a deficient number, since it is larger than the sum of its proper divisors (187695).

381393 is a wasteful number, since it uses less digits than its factorization.

381393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1401 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 381393 is about 617.5702389202. The cubic root of 381393 is about 72.5199627945.

It can be divided in two parts, 38 and 1393, that added together give a triangular number (1431 = T₅₃).

The spelling of 381393 in words is "three hundred eighty-one thousand, three hundred ninety-three".