4621 has 2 divisors, whose sum is σ = 4622. Its totient is φ = 4620.

The previous prime is 4603. The next prime is 4637. The reversal of 4621 is 1264.

4621 = T₅₄ + T₅₅ + T₅₆.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3721 + 900 = 61^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 4621 - 2⁷ = 4493 is a prime.

4621 is a lucky number.

It is a nialpdrome in base 6.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2310 + 2311.

It is an arithmetic number, because the mean of its divisors is an integer number (2311).

4621 is the 56-th centered triangular number.

It is an amenable number.

4621 is a deficient number, since it is larger than the sum of its proper divisors (1).

4621 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 13 representation: 4621 = (2146)₁₃.

4621 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 13.

The square root of 4621 is about 67.9779375974. The cubic root of 4621 is about 16.6563046702.

Adding to 4621 its reverse (1264), we get a palindrome (5885).

It can be divided in two parts, 4 and 621, that added together give a 4-th power (625 = 5⁴).

The spelling of 4621 in words is "four thousand, six hundred twenty-one".