393601 has 12 divisors (see below), whose sum is σ = 454572. Its totient is φ = 339456.

The previous prime is 393593. The next prime is 393611. The reversal of 393601 is 106393.

It can be written as a sum of positive squares in 6 ways, for example, as 15376 + 378225 = 124^2 + 615^2 .

It is not a de Polignac number, because 393601 - 2³ = 393593 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2805 + ... + 2941.

It is an arithmetic number, because the mean of its divisors is an integer number (37881).

2³⁹³⁶⁰¹ is an apocalyptic number.

It is an amenable number.

393601 is a deficient number, since it is larger than the sum of its proper divisors (60971).

393601 is a wasteful number, since it uses less digits than its factorization.

393601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 393601 is about 627.3762826247. The cubic root of 393601 is about 73.2856140422.

Adding to 393601 its reverse (106393), we get a palindrome (499994).

The spelling of 393601 in words is "three hundred ninety-three thousand, six hundred one".