1032005345 has 32 divisors (see below), whose sum is σ = 1467058176. Its totient is φ = 681984000.

The previous prime is 1032005341. The next prime is 1032005357. The reversal of 1032005345 is 5435002301.

1032005345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1032005345 - 2² = 1032005341 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1032005345.

It is not an unprimeable number, because it can be changed into a prime (1032005341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276995 + ... + 280695.

It is an arithmetic number, because the mean of its divisors is an integer number (45845568).

Almost surely, 2^1032005345 is an apocalyptic number.

It is an amenable number.

1032005345 is a deficient number, since it is larger than the sum of its proper divisors (435052831).

1032005345 is a wasteful number, since it uses less digits than its factorization.

1032005345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1032005345 is about 32124.8399996016. The cubic root of 1032005345 is about 1010.5566140820.

Adding to 1032005345 its reverse (5435002301), we get a palindrome (6467007646).

The spelling of 1032005345 in words is "one billion, thirty-two million, five thousand, three hundred forty-five".