4616829 has 54 divisors (see below), whose sum is σ = 8469630. Its totient is φ = 2413152.

The previous prime is 4616827. The next prime is 4616849. The reversal of 4616829 is 9286164.

4616829 = 84³ + 85³ + ... + 90³.

It can be written as a sum of positive squares in only one way, i.e., 3980025 + 636804 = 1995^2 + 798^2 .

It is not a de Polignac number, because 4616829 - 2¹ = 4616827 is a prime.

It is a super-2 number, since 2×4616829² = 42630220030482, which contains 22 as substring.

It is a Curzon number.

4616829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4616793 and 4616802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4616827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 159187 + ... + 159215.

It is an arithmetic number, because the mean of its divisors is an integer number (156845).

Almost surely, 2^4616829 is an apocalyptic number.

4616829 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4616829 is a deficient number, since it is larger than the sum of its proper divisors (3852801).

4616829 is a wasteful number, since it uses less digits than its factorization.

4616829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4616829 is about 2148.6807580467. The cubic root of 4616829 is about 166.5129173216.

It can be divided in two parts, 4616 and 829, that added together give a palindrome (5445).

The spelling of 4616829 in words is "four million, six hundred sixteen thousand, eight hundred twenty-nine".