1047361329 has 36 divisors (see below), whose sum is σ = 1767578436. Its totient is φ = 595865088.

The previous prime is 1047361321. The next prime is 1047361391. The reversal of 1047361329 is 9231637401.

1047361329 is a `hidden beast` number, since 10 + 4 + 7 + 3 + 613 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 474237729 + 573123600 = 21777^2 + 23940^2 .

It is not a de Polignac number, because 1047361329 - 2³ = 1047361321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1047361293 and 1047361302.

It is not an unprimeable number, because it can be changed into a prime (1047361321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97657 + ... + 107849.

It is an arithmetic number, because the mean of its divisors is an integer number (49099401).

Almost surely, 2^1047361329 is an apocalyptic number.

It is an amenable number.

1047361329 is a deficient number, since it is larger than the sum of its proper divisors (720217107).

1047361329 is a wasteful number, since it uses less digits than its factorization.

1047361329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10446 (or 10436 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1047361329 is about 32362.9623026076. The cubic root of 1047361329 is about 1015.5442344914.

The spelling of 1047361329 in words is "one billion, forty-seven million, three hundred sixty-one thousand, three hundred twenty-nine".