429413 has 2 divisors, whose sum is σ = 429414. Its totient is φ = 429412.

The previous prime is 429409. The next prime is 429427. The reversal of 429413 is 314924.

429413 is nontrivially palindromic in base 15.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 315844 + 113569 = 562^2 + 337^2 .

It is a cyclic number.

It is not a de Polignac number, because 429413 - 2² = 429409 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (429463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214706 + 214707.

It is an arithmetic number, because the mean of its divisors is an integer number (214707).

2⁴²⁹⁴¹³ is an apocalyptic number.

It is an amenable number.

429413 is a deficient number, since it is larger than the sum of its proper divisors (1).

429413 is an equidigital number, since it uses as much as digits as its factorization.

429413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 23.

The square root of 429413 is about 655.2961162711. The cubic root of 429413 is about 75.4440618944. Note that the first 3 decimals are identical.

The spelling of 429413 in words is "four hundred twenty-nine thousand, four hundred thirteen".