393516 has 36 divisors (see below), whose sum is σ = 1054872. Its totient is φ = 123264.

The previous prime is 393487. The next prime is 393517. The reversal of 393516 is 615393.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 393516.

It is not an unprimeable number, because it can be changed into a prime (393517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (29302).

2³⁹³⁵¹⁶ is an apocalyptic number.

393516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527436).

393516 is an abundant number, since it is smaller than the sum of its proper divisors (661356).

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

393516 is a wasteful number, since it uses less digits than its factorization.

393516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 665 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 393516 is about 627.3085365273. The cubic root of 393516 is about 73.2803382039.

It can be divided in two parts, 393 and 516, that added together give a palindrome (909).

The spelling of 393516 in words is "three hundred ninety-three thousand, five hundred sixteen".