393345 has 12 divisors (see below), whose sum is σ = 681876. Its totient is φ = 209760.

The previous prime is 393331. The next prime is 393361. The reversal of 393345 is 543393.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 288369 = 324^2 + 537^2 .

It is not a de Polignac number, because 393345 - 2¹⁰ = 392321 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4326 + ... + 4415.

It is an arithmetic number, because the mean of its divisors is an integer number (56823).

2³⁹³³⁴⁵ is an apocalyptic number.

It is an amenable number.

393345 is a deficient number, since it is larger than the sum of its proper divisors (288531).

393345 is a wasteful number, since it uses less digits than its factorization.

393345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8749 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 393345 is about 627.1722251503. The cubic root of 393345 is about 73.2697221567.

The spelling of 393345 in words is "three hundred ninety-three thousand, three hundred forty-five".