3591 has 16 divisors (see below), whose sum is σ = 6400. Its totient is φ = 1944.

The previous prime is 3583. The next prime is 3593. The reversal of 3591 is 1953.

3591 = 9^{2} + 10^{2} + ... + 22^{2}.

3591 is nontrivially palindromic in base 2 and base 8.

3591 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3591 is an astonishing number since 3591 = 35 + ... + 91.

It is not a de Polignac number, because 3591 - 2^{3} = 3583 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3591.

It is not an unprimeable number, because it can be changed into a prime (3593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (400).

3591 is a deficient number, since it is larger than the sum of its proper divisors (2809).

3591 is a wasteful number, since it uses less digits than its factorization.

3591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 29 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 3591 is about 59.9249530663. The cubic root of 3591 is about 15.3134061660.

The spelling of 3591 in words is "three thousand, five hundred ninety-one".

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