429221 has 8 divisors (see below), whose sum is σ = 467544. Its totient is φ = 391680.

The previous prime is 429217. The next prime is 429223. The reversal of 429221 is 122924.

It can be written as a sum of positive squares in 4 ways, for example, as 57121 + 372100 = 239^2 + 610^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 429221 - 2² = 429217 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 429193 and 429202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1661 + ... + 1901.

It is an arithmetic number, because the mean of its divisors is an integer number (58443).

2⁴²⁹²²¹ is an apocalyptic number.

It is an amenable number.

429221 is a deficient number, since it is larger than the sum of its proper divisors (38323).

429221 is a wasteful number, since it uses less digits than its factorization.

429221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391.

The product of its digits is 288, while the sum is 20.

The square root of 429221 is about 655.1496012362. The cubic root of 429221 is about 75.4328159848.

Subtracting from 429221 its sum of digits (20), we obtain a triangular number (429201 = T₉₂₆).

The spelling of 429221 in words is "four hundred twenty-nine thousand, two hundred twenty-one".