429867 has 24 divisors (see below), whose sum is σ = 677040. Its totient is φ = 272160.

The previous prime is 429853. The next prime is 429881. The reversal of 429867 is 768924.

429867 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (429853) and next prime (429881).

It is not a de Polignac number, because 429867 - 2⁴ = 429851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (429817) 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 23 ways as a sum of consecutive naturals, for example, 7017 + ... + 7077.

It is an arithmetic number, because the mean of its divisors is an integer number (28210).

2⁴²⁹⁸⁶⁷ is an apocalyptic number.

429867 is a deficient number, since it is larger than the sum of its proper divisors (247173).

429867 is an equidigital number, since it uses as much as digits as its factorization.

429867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 429867 is about 655.6424330380. The cubic root of 429867 is about 75.4706404565.

It can be divided in two parts, 429 and 867, that added together give a 4-th power (1296 = 6⁴).

The spelling of 429867 in words is "four hundred twenty-nine thousand, eight hundred sixty-seven".