432632313 has 32 divisors (see below), whose sum is σ = 654184320. Its totient is φ = 282502080.

The previous prime is 432632297. The next prime is 432632329. The reversal of 432632313 is 313236234.

It is a happy number.

432632313 is a `hidden beast` number, since 4 + 326 + 323 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (432632297) and next prime (432632329).

It is not a de Polignac number, because 432632313 - 2⁴ = 432632297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (432632393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571131 + ... + 571887.

It is an arithmetic number, because the mean of its divisors is an integer number (20443260).

Almost surely, 2^432632313 is an apocalyptic number.

It is an amenable number.

432632313 is a deficient number, since it is larger than the sum of its proper divisors (221552007).

432632313 is a wasteful number, since it uses less digits than its factorization.

432632313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 432632313 is about 20799.8152155254. The cubic root of 432632313 is about 756.3212762727.

Adding to 432632313 its reverse (313236234), we get a palindrome (745868547).

The spelling of 432632313 in words is "four hundred thirty-two million, six hundred thirty-two thousand, three hundred thirteen".