431361961 has 8 divisors (see below), whose sum is σ = 457798824. Its totient is φ = 405043200.

The previous prime is 431361937. The next prime is 431361967. The reversal of 431361961 is 169163134.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33120025 + 398241936 = 5755^2 + 19956^2 .

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 431361961 - 2¹⁷ = 431230889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431361967) 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, 21940 + ... + 36661.

It is an arithmetic number, because the mean of its divisors is an integer number (57224853).

Almost surely, 2^431361961 is an apocalyptic number.

It is an amenable number.

431361961 is a deficient number, since it is larger than the sum of its proper divisors (26436863).

431361961 is a wasteful number, since it uses less digits than its factorization.

431361961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59051.

The product of its digits is 11664, while the sum is 34.

The square root of 431361961 is about 20769.2551864529. The cubic root of 431361961 is about 755.5802804681.

The spelling of 431361961 in words is "four hundred thirty-one million, three hundred sixty-one thousand, nine hundred sixty-one".