3601 has 4 divisors (see below), whose sum is σ = 3892. Its totient is φ = 3312.

The previous prime is 3593. The next prime is 3607. The reversal of 3601 is 1063.

It is the 25-th star number.

It is a Cunningham number, because it is equal to 60²+1.

3601 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 576 + 3025 = 24^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 3601 - 2³ = 3593 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3607) 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 3 ways as a sum of consecutive naturals, for example, 126 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (973).

It is an amenable number.

3601 is a deficient number, since it is larger than the sum of its proper divisors (291).

3601 is a wasteful number, since it uses less digits than its factorization.

3601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3601 is about 60.0083327547. The cubic root of 3601 is about 15.3276076080.

Adding to 3601 its reverse (1063), we get a palindrome (4664).

It can be divided in two parts, 360 and 1, that added together give a square (361 = 19²).

The spelling of 3601 in words is "three thousand, six hundred one".