5959 has 4 divisors (see below), whose sum is σ = 6120. Its totient is φ = 5800.

The previous prime is 5953. The next prime is 5981. The reversal of 5959 is 9595.

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

It is a cyclic number.

It is not a de Polignac number, because 5959 - 2⁵ = 5927 is a prime.

It is a Duffinian number.

5959 is an undulating number in base 10.

5959 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 109.

It is an arithmetic number, because the mean of its divisors is an integer number (1530).

5959 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

5959 is a deficient number, since it is larger than the sum of its proper divisors (161).

5959 is a wasteful number, since it uses less digits than its factorization.

With its successor (5960) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (160).

5959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its digits is 2025, while the sum is 28.

The square root of 5959 is about 77.1945593938. The cubic root of 5959 is about 18.1297213226.

The spelling of 5959 in words is "five thousand, nine hundred fifty-nine".