431165745 has 12 divisors (see below), whose sum is σ = 747354036. Its totient is φ = 229955040.

The previous prime is 431165737. The next prime is 431165831. The reversal of 431165745 is 547561134.

It can be written as a sum of positive squares in 2 ways, for example, as 208051776 + 223113969 = 14424^2 + 14937^2 .

It is not a de Polignac number, because 431165745 - 2³ = 431165737 is a prime.

It is a super-2 number, since 2×431165745² = 371807799322810050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4790686 + ... + 4790775.

It is an arithmetic number, because the mean of its divisors is an integer number (62279503).

Almost surely, 2^431165745 is an apocalyptic number.

431165745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431165745 is a deficient number, since it is larger than the sum of its proper divisors (316188291).

431165745 is a wasteful number, since it uses less digits than its factorization.

431165745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581472 (or 9581469 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 431165745 is about 20764.5309361902. The cubic root of 431165745 is about 755.4656980997.

It can be divided in two parts, 431 and 165745, that added together give a triangular number (166176 = T₅₇₆).

The spelling of 431165745 in words is "four hundred thirty-one million, one hundred sixty-five thousand, seven hundred forty-five".