4601 has 4 divisors (see below), whose sum is σ = 4752. Its totient is φ = 4452.

The previous prime is 4597. The next prime is 4603. The reversal of 4601 is 1064.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4601 - 2² = 4597 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4601.

It is not an unprimeable number, because it can be changed into a prime (4603) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 96.

It is an arithmetic number, because the mean of its divisors is an integer number (1188).

It is an amenable number.

4601 is a deficient number, since it is larger than the sum of its proper divisors (151).

4601 is a wasteful number, since it uses less digits than its factorization.

4601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4601 is about 67.8306715284. The cubic root of 4601 is about 16.6322400486.

Adding to 4601 its reverse (1064), we get a palindrome (5665).

The spelling of 4601 in words is "four thousand, six hundred one".