393852 has 24 divisors (see below), whose sum is σ = 959616. Its totient is φ = 125488.

The previous prime is 393847. The next prime is 393853. The reversal of 393852 is 258393.

It is a happy number.

It is a d-powerful number, because it can be written as 3⁵ + 9³ + 8² + 3⁷ + 5⁸ + 2² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393853) by changing a digit.

393852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (39984).

2³⁹³⁸⁵² is an apocalyptic number.

It is an amenable number.

393852 is an abundant number, since it is smaller than the sum of its proper divisors (565764).

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

393852 is a wasteful number, since it uses less digits than its factorization.

393852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1455 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 393852 is about 627.5762901831. The cubic root of 393852 is about 73.3011888505.

The spelling of 393852 in words is "three hundred ninety-three thousand, eight hundred fifty-two".