393536 has 56 divisors (see below), whose sum is σ = 938784. Its totient is φ = 161280.

The previous prime is 393521. The next prime is 393539. The reversal of 393536 is 635393.

393536 is nontrivially palindromic in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 393499 and 393508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9131 + ... + 9173.

It is an arithmetic number, because the mean of its divisors is an integer number (16764).

2³⁹³⁵³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469392).

393536 is an abundant number, since it is smaller than the sum of its proper divisors (545248).

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

393536 is a wasteful number, since it uses less digits than its factorization.

393536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its digits is 7290, while the sum is 29.

The square root of 393536 is about 627.3244774437. The cubic root of 393536 is about 73.2815796460.

It can be divided in two parts, 393 and 536, that added together give a palindrome (929).

The spelling of 393536 in words is "three hundred ninety-three thousand, five hundred thirty-six".