353601 has 12 divisors (see below), whose sum is σ = 517140. Its totient is φ = 232800.

The previous prime is 353567. The next prime is 353603. The reversal of 353601 is 106353.

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 123201 = 480^2 + 351^2 .

It is not a de Polignac number, because 353601 - 2⁷ = 353473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (353603) 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, 715 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (43095).

2³⁵³⁶⁰¹ is an apocalyptic number.

It is an amenable number.

353601 is a deficient number, since it is larger than the sum of its proper divisors (163539).

353601 is a wasteful number, since it uses less digits than its factorization.

353601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 353601 is about 594.6435907331. The cubic root of 353601 is about 70.7138519366.

Adding to 353601 its reverse (106353), we get a palindrome (459954).

The spelling of 353601 in words is "three hundred fifty-three thousand, six hundred one".