4629 has 4 divisors (see below), whose sum is σ = 6176. Its totient is φ = 3084.

The previous prime is 4621. The next prime is 4637. The reversal of 4629 is 9264.

4629 is nontrivially palindromic in base 6.

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 an interprime number because it is at equal distance from previous prime (4621) and next prime (4637).

It is not a de Polignac number, because 4629 - 2³ = 4621 is a prime.

It is a D-number.

It is a Duffinian number.

4629 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4621) by changing a digit.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 769 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (1544).

2⁴⁶²⁹ is an apocalyptic number.

It is an amenable number.

4629 is a deficient number, since it is larger than the sum of its proper divisors (1547).

4629 is a wasteful number, since it uses less digits than its factorization.

4629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546.

The product of its digits is 432, while the sum is 21.

The square root of 4629 is about 68.0367547727. The cubic root of 4629 is about 16.6659110769.

The spelling of 4629 in words is "four thousand, six hundred twenty-nine".