431828221 has 16 divisors (see below), whose sum is σ = 488562048. Its totient is φ = 378216000.

The previous prime is 431828213. The next prime is 431828249. The reversal of 431828221 is 122828134.

It is a happy number.

It is not a de Polignac number, because 431828221 - 2³ = 431828213 is a prime.

It is a super-2 number, since 2×431828221² = 372951224904049682, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431828261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36771 + ... + 47071.

It is an arithmetic number, because the mean of its divisors is an integer number (30535128).

Almost surely, 2^431828221 is an apocalyptic number.

It is an amenable number.

431828221 is a deficient number, since it is larger than the sum of its proper divisors (56733827).

431828221 is a wasteful number, since it uses less digits than its factorization.

431828221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452.

The product of its digits is 6144, while the sum is 31.

The square root of 431828221 is about 20780.4769194550. The cubic root of 431828221 is about 755.8524185152.

The spelling of 431828221 in words is "four hundred thirty-one million, eight hundred twenty-eight thousand, two hundred twenty-one".