624829 has 2 divisors, whose sum is σ = 624830. Its totient is φ = 624828.

The previous prime is 624809. The next prime is 624839. The reversal of 624829 is 928426.

624829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 624100 + 729 = 790^2 + 27^2 .

It is a cyclic number.

It is not a de Polignac number, because 624829 - 2⁵ = 624797 is a prime.

It is a super-2 number, since 2×624829² = 780822558482, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 624829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (624809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 312414 + 312415.

It is an arithmetic number, because the mean of its divisors is an integer number (312415).

2⁶²⁴⁸²⁹ is an apocalyptic number.

It is an amenable number.

624829 is a deficient number, since it is larger than the sum of its proper divisors (1).

624829 is an equidigital number, since it uses as much as digits as its factorization.

624829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6912, while the sum is 31.

The square root of 624829 is about 790.4612577477. The cubic root of 624829 is about 85.4909991323.

The spelling of 624829 in words is "six hundred twenty-four thousand, eight hundred twenty-nine".