4959 has 12 divisors (see below), whose sum is σ = 7800. Its totient is φ = 3024.

The previous prime is 4957. The next prime is 4967. The reversal of 4959 is 9594.

4959 = T₂ + T₃ + ... + T₃₀.

It is a happy number.

4959 is nontrivially palindromic in base 6.

4959 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 4959 - 2¹ = 4957 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4⁶ + 5³ + 9 + 9³ .

Its product of digits (1620) is a multiple of the sum of its prime factors (54).

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4951) 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, 157 + ... + 185.

It is an arithmetic number, because the mean of its divisors is an integer number (650).

4959 is the 38-th nonagonal number.

4959 is a deficient number, since it is larger than the sum of its proper divisors (2841).

4959 is a wasteful number, since it uses less digits than its factorization.

4959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 51 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 4959 is about 70.4201675658. The cubic root of 4959 is about 17.0528917848.

The spelling of 4959 in words is "four thousand, nine hundred fifty-nine".