3605 has 8 divisors (see below), whose sum is σ = 4992. Its totient is φ = 2448.

The previous prime is 3593. The next prime is 3607. The reversal of 3605 is 5063.

3605 = T₁₄ + T₁₅ + ... + T₂₈.

It is a happy number.

3605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3605 - 2⁶ = 3541 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 11 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 3605.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (624).

2³⁶⁰⁵ is an apocalyptic number.

3605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3605 is the 35-th octagonal number.

It is an amenable number.

3605 is a deficient number, since it is larger than the sum of its proper divisors (1387).

3605 is a wasteful number, since it uses less digits than its factorization.

3605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3605 is about 60.0416522091. The cubic root of 3605 is about 15.3332808232. Note that the first 3 decimals are identical.

Adding to 3605 its reverse (5063), we get a palindrome (8668).

The spelling of 3605 in words is "three thousand, six hundred five".