431541 has 16 divisors (see below), whose sum is σ = 697920. Its totient is φ = 261360.

The previous prime is 431533. The next prime is 431567. The reversal of 431541 is 145134.

It is a happy number.

It is not a de Polignac number, because 431541 - 2³ = 431533 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

431541 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (43620).

2⁴³¹⁵⁴¹ is an apocalyptic number.

It is an amenable number.

431541 is a deficient number, since it is larger than the sum of its proper divisors (266379).

431541 is a wasteful number, since it uses less digits than its factorization.

431541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1467 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 431541 is about 656.9178030774. The cubic root of 431541 is about 75.5684801836.

Adding to 431541 its reverse (145134), we get a palindrome (576675).

It can be divided in two parts, 4315 and 41, that added together give a square (4356 = 66²).

The spelling of 431541 in words is "four hundred thirty-one thousand, five hundred forty-one".