403393 has 8 divisors (see below), whose sum is σ = 435240. Its totient is φ = 372480.

The previous prime is 403391. The next prime is 403433. The reversal of 403393 is 393304.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 399424 = 63^2 + 632^2 .

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 403393 - 2¹ = 403391 is a prime.

It is a Duffinian number.

403393 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403391) 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, 843 + ... + 1231.

It is an arithmetic number, because the mean of its divisors is an integer number (54405).

2⁴⁰³³⁹³ is an apocalyptic number.

It is an amenable number.

403393 is a deficient number, since it is larger than the sum of its proper divisors (31847).

403393 is a wasteful number, since it uses less digits than its factorization.

403393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 403393 is about 635.1322696888. The cubic root of 403393 is about 73.8883756557. Note that the first 3 decimals are identical.

Adding to 403393 its reverse (393304), we get a palindrome (796697).

The spelling of 403393 in words is "four hundred three thousand, three hundred ninety-three".