4956 has 24 divisors (see below), whose sum is σ = 13440. Its totient is φ = 1392.

The previous prime is 4951. The next prime is 4957. The reversal of 4956 is 6594.

4956 = T₃ + T₄ + ... + T₃₀.

4956 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a d-powerful number, because it can be written as 4⁶ + 5³ + 9³ + 6 .

It is a plaindrome in base 16.

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 4956.

It is not an unprimeable number, because it can be changed into a prime (4951) by changing a digit.

4956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (560).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720).

4956 is an abundant number, since it is smaller than the sum of its proper divisors (8484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4956 is a wasteful number, since it uses less digits than its factorization.

4956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 4956 is about 70.3988636272. The cubic root of 4956 is about 17.0494523148.

It can be divided in two parts, 49 and 56, that multiplied together give a cube (2744 = 14³).

The spelling of 4956 in words is "four thousand, nine hundred fifty-six".