382993 has 8 divisors (see below), whose sum is σ = 436968. Its totient is φ = 332544.

The previous prime is 382979. The next prime is 382999. The reversal of 382993 is 399283.

It can be written as a sum of positive squares in 4 ways, for example, as 37249 + 345744 = 193^2 + 588^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 382993 - 2⁵ = 382961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (54621).

2³⁸²⁹⁹³ is an apocalyptic number.

It is an amenable number.

382993 is a deficient number, since it is larger than the sum of its proper divisors (53975).

382993 is a wasteful number, since it uses less digits than its factorization.

382993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763.

The product of its digits is 11664, while the sum is 34.

The square root of 382993 is about 618.8642823754. The cubic root of 382993 is about 72.6212319670.

Subtracting 382993 from its reverse (399283), we obtain a triangular number (16290 = T₁₈₀).

The spelling of 382993 in words is "three hundred eighty-two thousand, nine hundred ninety-three".