429829 has 4 divisors (see below), whose sum is σ = 441484. Its totient is φ = 418176.

The previous prime is 429827. The next prime is 429851. The reversal of 429829 is 928924.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 277729 + 152100 = 527^2 + 390^2 .

It is a cyclic number.

It is not a de Polignac number, because 429829 - 2¹ = 429827 is a prime.

429829 is a lucky number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 429794 and 429803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5772 + ... + 5845.

It is an arithmetic number, because the mean of its divisors is an integer number (110371).

2⁴²⁹⁸²⁹ is an apocalyptic number.

It is an amenable number.

429829 is a deficient number, since it is larger than the sum of its proper divisors (11655).

429829 is a wasteful number, since it uses less digits than its factorization.

429829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11654.

The product of its digits is 10368, while the sum is 34.

The square root of 429829 is about 655.6134531872. The cubic root of 429829 is about 75.4684165370.

It can be divided in two parts, 4 and 29829, that multiplied together give a triangular number (119316 = T₄₈₈).

The spelling of 429829 in words is "four hundred twenty-nine thousand, eight hundred twenty-nine".