5950 has 24 divisors (see below), whose sum is σ = 13392. Its totient is φ = 1920.

The previous prime is 5939. The next prime is 5953. The reversal of 5950 is 595.

5950 is an undulating number in base 13.

It is a congruent number.

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

5950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342 + ... + 358.

It is an arithmetic number, because the mean of its divisors is an integer number (558).

2⁵⁹⁵⁰ is an apocalyptic number.

5950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5950 is an abundant number, since it is smaller than the sum of its proper divisors (7442).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696).

5950 is a wasteful number, since it uses less digits than its factorization.

5950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 5950 is about 77.1362431027. The cubic root of 5950 is about 18.1205894936.

Multiplying 5950 by its sum of digits (19), we get a triangular number (113050 = T₄₇₅).

The spelling of 5950 in words is "five thousand, nine hundred fifty".