5901 has 8 divisors (see below), whose sum is σ = 9024. Its totient is φ = 3360.

The previous prime is 5897. The next prime is 5903. The reversal of 5901 is 1095.

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

It is not a de Polignac number, because 5901 - 2² = 5897 is a prime.

5901 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5903) by changing a digit.

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, 120 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1128).

2⁵⁹⁰¹ is an apocalyptic number.

It is an amenable number.

5901 is a deficient number, since it is larger than the sum of its proper divisors (3123).

5901 is a wasteful number, since it uses less digits than its factorization.

5901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 5901 is about 76.8179666484. The cubic root of 5901 is about 18.0707095219.

Subtracting from 5901 its sum of digits (15), we obtain a triangular number (5886 = T₁₀₈).

Adding to 5901 its reverse (1095), we get a palindrome (6996).

The spelling of 5901 in words is "five thousand, nine hundred one".