393066 has 32 divisors (see below), whose sum is σ = 907200. Its totient is φ = 126000.

The previous prime is 393059. The next prime is 393073. The reversal of 393066 is 660393.

It is an interprime number because it is at equal distance from previous prime (393059) and next prime (393073).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441 + ... + 1691.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2³⁹³⁰⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

393066 is an abundant number, since it is smaller than the sum of its proper divisors (514134).

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

393066 is a wasteful number, since it uses less digits than its factorization.

393066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 393066 is about 626.9497587526. The cubic root of 393066 is about 73.2523946303.

The spelling of 393066 in words is "three hundred ninety-three thousand, sixty-six".