393012 has 30 divisors (see below), whose sum is σ = 1028258. Its totient is φ = 130896.

The previous prime is 393007. The next prime is 393013. The reversal of 393012 is 210393.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 156816 = 486^2 + 396^2 .

It is a super-3 number, since 3×393012³ = 182112052001333184, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393012.

It is not an unprimeable number, because it can be changed into a prime (393013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 283 + ... + 930.

2³⁹³⁰¹² is an apocalyptic number.

It is an amenable number.

393012 is an abundant number, since it is smaller than the sum of its proper divisors (635246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

393012 is a wasteful number, since it uses less digits than its factorization.

393012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 393012 is about 626.9066916216. The cubic root of 393012 is about 73.2490399685.

The spelling of 393012 in words is "three hundred ninety-three thousand, twelve".