4651 has 2 divisors, whose sum is σ = 4652. Its totient is φ = 4650.

The previous prime is 4649. The next prime is 4657. The reversal of 4651 is 1564.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4651 - 2¹ = 4649 is a prime.

Together with 4649, it forms a pair of twin primes.

It is a plaindrome in base 16.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not a weakly prime, because it can be changed into another prime (4657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2325 + 2326.

It is an arithmetic number, because the mean of its divisors is an integer number (2326).

2⁴⁶⁵¹ is an apocalyptic number.

4651 is the 31-st centered decagonal number.

4651 is a deficient number, since it is larger than the sum of its proper divisors (1).

4651 is an equidigital number, since it uses as much as digits as its factorization.

4651 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120, while the sum is 16.

The square root of 4651 is about 68.1982404465. The cubic root of 4651 is about 16.6922717537.

It can be divided in two parts, 46 and 51, that multiplied together give a triangular number (2346 = T₆₈).

The spelling of 4651 in words is "four thousand, six hundred fifty-one".