393645 has 32 divisors (see below), whose sum is σ = 755712. Its totient is φ = 171072.

The previous prime is 393637. The next prime is 393649. The reversal of 393645 is 546393.

It is a happy number.

It is not a de Polignac number, because 393645 - 2³ = 393637 is a prime.

It is a super-3 number, since 3×393645³ = 182993419730433375, which contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2334 + ... + 2496.

It is an arithmetic number, because the mean of its divisors is an integer number (23616).

393645 is a Friedman number, since it can be written as 5*(3-6+4*3^9), using all its digits and the basic arithmetic operations.

2³⁹³⁶⁴⁵ is an apocalyptic number.

393645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

393645 is a deficient number, since it is larger than the sum of its proper divisors (362067).

393645 is a wasteful number, since it uses less digits than its factorization.

393645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201.

The product of its digits is 9720, while the sum is 30.

The square root of 393645 is about 627.4113483194. The cubic root of 393645 is about 73.2883447660.

The spelling of 393645 in words is "three hundred ninety-three thousand, six hundred forty-five".