205132431 has 16 divisors (see below), whose sum is σ = 315620864. Its totient is φ = 116079264.

The previous prime is 205132391. The next prime is 205132463. The reversal of 205132431 is 134231502.

It is not a de Polignac number, because 205132431 - 2¹⁷ = 205001359 is a prime.

It is a super-2 number, since 2×205132431² = 84158628495939522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205132398 and 205132407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205132831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45256 + ... + 49581.

It is an arithmetic number, because the mean of its divisors is an integer number (19726304).

Almost surely, 2^205132431 is an apocalyptic number.

205132431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

205132431 is a deficient number, since it is larger than the sum of its proper divisors (110488433).

205132431 is a wasteful number, since it uses less digits than its factorization.

205132431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94950.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 205132431 is about 14322.4450077492. The cubic root of 205132431 is about 589.7637960939.

Adding to 205132431 its reverse (134231502), we get a palindrome (339363933).

The spelling of 205132431 in words is "two hundred five million, one hundred thirty-two thousand, four hundred thirty-one".