388993 has 4 divisors (see below), whose sum is σ = 424368. Its totient is φ = 353620.

The previous prime is 388991. The next prime is 389003. The reversal of 388993 is 399883.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 399883 = 11 ⋅36353.

It is a cyclic number.

It is not a de Polignac number, because 388993 - 2¹ = 388991 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 388993.

It is not an unprimeable number, because it can be changed into a prime (388991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17671 + ... + 17692.

It is an arithmetic number, because the mean of its divisors is an integer number (106092).

388993 is a Friedman number, since it can be written as (9*9-8)^3-8*3, using all its digits and the basic arithmetic operations.

2³⁸⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

388993 is a deficient number, since it is larger than the sum of its proper divisors (35375).

388993 is a wasteful number, since it uses less digits than its factorization.

388993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35374.

The product of its digits is 46656, while the sum is 40.

The square root of 388993 is about 623.6930334708. The cubic root of 388993 is about 72.9984987494.

The spelling of 388993 in words is "three hundred eighty-eight thousand, nine hundred ninety-three".