429013 has 8 divisors (see below), whose sum is σ = 470456. Its totient is φ = 388800.

The previous prime is 429007. The next prime is 429017. The reversal of 429013 is 310924.

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 418609 = 102^2 + 647^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-429013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (58807).

2⁴²⁹⁰¹³ is an apocalyptic number.

It is an amenable number.

429013 is a deficient number, since it is larger than the sum of its proper divisors (41443).

429013 is a wasteful number, since it uses less digits than its factorization.

429013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 429013 is about 654.9908396306. The cubic root of 429013 is about 75.4206291309.

Adding to 429013 its reverse (310924), we get a palindrome (739937).

The spelling of 429013 in words is "four hundred twenty-nine thousand, thirteen".