5956 has 6 divisors (see below), whose sum is σ = 10430. Its totient is φ = 2976.

The previous prime is 5953. The next prime is 5981. The reversal of 5956 is 6595.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4356 + 1600 = 66^2 + 40^2 .

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5956.

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 as a sum of consecutive naturals, namely, 741 + ... + 748.

2⁵⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

5956 is a deficient number, since it is larger than the sum of its proper divisors (4474).

5956 is a wasteful number, since it uses less digits than its factorization.

5956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1491 counting only the distinct ones).

The product of its digits is 1350, while the sum is 25.

The square root of 5956 is about 77.1751255263. The cubic root of 5956 is about 18.1266784018.

It can be divided in two parts, 595 and 6, that multiplied together give a triangular number (3570 = T₈₄).

The spelling of 5956 in words is "five thousand, nine hundred fifty-six".