5945 has 8 divisors (see below), whose sum is σ = 7560. Its totient is φ = 4480.

The previous prime is 5939. The next prime is 5953. The reversal of 5945 is 5495.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 5929 = 4^2 + 77^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5945 - 2⁶ = 5881 is a prime.

5945 is an undulating number in base 12.

Its product of digits (900) is a multiple of the sum of its prime divisors (75).

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 5945.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5945.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

2⁵⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

5945 is a deficient number, since it is larger than the sum of its proper divisors (1615).

5945 is a wasteful number, since it uses less digits than its factorization.

5945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75.

The product of its digits is 900, while the sum is 23.

The square root of 5945 is about 77.1038261048. The cubic root of 5945 is about 18.1155122758.

The spelling of 5945 in words is "five thousand, nine hundred forty-five".