5845 has 8 divisors (see below), whose sum is σ = 8064. Its totient is φ = 3984.

The previous prime is 5843. The next prime is 5849. The reversal of 5845 is 5485.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 5845 - 2¹ = 5843 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 118.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2⁵⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

5845 is a deficient number, since it is larger than the sum of its proper divisors (2219).

5845 is a wasteful number, since it uses less digits than its factorization.

5845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179.

The product of its digits is 800, while the sum is 22.

The square root of 5845 is about 76.4525996942. The cubic root of 5845 is about 18.0133645603.

It can be divided in two parts, 5 and 845, that multiplied together give a square (4225 = 65²).

The spelling of 5845 in words is "five thousand, eight hundred forty-five".