1329634305 has 64 divisors (see below), whose sum is σ = 2434199040. Its totient is φ = 688204800.

The previous prime is 1329634297. The next prime is 1329634309. The reversal of 1329634305 is 5034369231.

It is a happy number.

1329634305 is a `hidden beast` number, since 13 + 2 + 9 + 634 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 1329634305 - 2³ = 1329634297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1329634305.

It is not an unprimeable number, because it can be changed into a prime (1329634309) 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 63 ways as a sum of consecutive naturals, for example, 1289140 + ... + 1290170.

It is an arithmetic number, because the mean of its divisors is an integer number (38034360).

Almost surely, 2^1329634305 is an apocalyptic number.

1329634305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1329634305 is a deficient number, since it is larger than the sum of its proper divisors (1104564735).

1329634305 is a wasteful number, since it uses less digits than its factorization.

With its successor (1329634306) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1313).

With its successor (1329634306) it forms an eRAP, since the sums of their prime factors are consecutive (1319 and 1320).

1329634305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1329634305 is about 36464.1509567959. The cubic root of 1329634305 is about 1099.6236467315.

The spelling of 1329634305 in words is "one billion, three hundred twenty-nine million, six hundred thirty-four thousand, three hundred five".