393381 has 12 divisors (see below), whose sum is σ = 574860. Its totient is φ = 259200.

The previous prime is 393377. The next prime is 393383. The reversal of 393381 is 183393.

It can be written as a sum of positive squares in 2 ways, for example, as 349281 + 44100 = 591^2 + 210^2 .

It is not a de Polignac number, because 393381 - 2² = 393377 is a prime.

It is a super-2 number, since 2×393381² = 309497222322, which contains 22 as substring.

It is a Curzon number.

393381 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393383) 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, 781 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (47905).

2³⁹³³⁸¹ is an apocalyptic number.

It is an amenable number.

393381 is a deficient number, since it is larger than the sum of its proper divisors (181479).

393381 is a wasteful number, since it uses less digits than its factorization.

393381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 513 counting only the distinct ones).

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

The square root of 393381 is about 627.2009247442. The cubic root of 393381 is about 73.2719573696.

The spelling of 393381 in words is "three hundred ninety-three thousand, three hundred eighty-one".