5970 has 16 divisors (see below), whose sum is σ = 14400. Its totient is φ = 1584.

The previous prime is 5953. The next prime is 5981. The reversal of 5970 is 795.

It is a Curzon number.

It is a plaindrome in base 12 and base 14.

It is a zygodrome in base 14.

It is an unprimeable 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, 70 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

5970 is an abundant number, since it is smaller than the sum of its proper divisors (8430).

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 (7200).

5970 is a wasteful number, since it uses less digits than its factorization.

5970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 5970 is about 77.2657750883. The cubic root of 5970 is about 18.1408699689.

The spelling of 5970 in words is "five thousand, nine hundred seventy".