393353 has 6 divisors (see below), whose sum is σ = 403674. Its totient is φ = 383264.

The previous prime is 393331. The next prime is 393361. The reversal of 393353 is 353393.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 170569 = 472^2 + 413^2 .

It is not a de Polignac number, because 393353 - 2⁸ = 393097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393353.

It is not an unprimeable number, because it can be changed into a prime (393373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3425 + ... + 3537.

It is an arithmetic number, because the mean of its divisors is an integer number (67279).

2³⁹³³⁵³ is an apocalyptic number.

It is an amenable number.

393353 is a deficient number, since it is larger than the sum of its proper divisors (10321).

393353 is an equidigital number, since it uses as much as digits as its factorization.

393353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 172 counting only the distinct ones).

The product of its digits is 3645, while the sum is 26.

The square root of 393353 is about 627.1786029513. The cubic root of 393353 is about 73.2702188824.

The spelling of 393353 in words is "three hundred ninety-three thousand, three hundred fifty-three".