393421 has 16 divisors (see below), whose sum is σ = 486400. Its totient is φ = 317520.

The previous prime is 393413. The next prime is 393451. The reversal of 393421 is 124393.

393421 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 393421 - 2³ = 393413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 393392 and 393401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10615 + ... + 10651.

It is an arithmetic number, because the mean of its divisors is an integer number (30400).

2³⁹³⁴²¹ is an apocalyptic number.

393421 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

393421 is a deficient number, since it is larger than the sum of its proper divisors (92979).

393421 is an equidigital number, since it uses as much as digits as its factorization.

393421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 393421 is about 627.2328116417. The cubic root of 393421 is about 73.2744407797.

The spelling of 393421 in words is "three hundred ninety-three thousand, four hundred twenty-one".