431019121 has 9 divisors (see below), whose sum is σ = 467017281. Its totient is φ = 397614672.

The previous prime is 431019119. The next prime is 431019157. The reversal of 431019121 is 121910134.

The square root of 431019121 is 20761.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 183900721 + 247118400 = 13561^2 + 15720^2 .

It is not a de Polignac number, because 431019121 - 2¹ = 431019119 is a prime.

It is a super-2 number, since 2×431019121² = 371554965335225282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431019092 and 431019101.

It is not an unprimeable number, because it can be changed into a prime (431019221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 269095 + ... + 270691.

It is an arithmetic number, because the mean of its divisors is an integer number (51890809).

Almost surely, 2^431019121 is an apocalyptic number.

431019121 is the 20761-st square number.

431019121 is the 10381-st centered octagonal number.

It is an amenable number.

431019121 is a deficient number, since it is larger than the sum of its proper divisors (35998160).

431019121 is an frugal number, since it uses more digits than its factorization.

431019121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The cubic root of 431019121 is about 755.3800527978.

Adding to 431019121 its reverse (121910134), we get a palindrome (552929255).

The spelling of 431019121 in words is "four hundred thirty-one million, nineteen thousand, one hundred twenty-one".