1005945329 has 16 divisors (see below), whose sum is σ = 1079594880. Its totient is φ = 934519680.

The previous prime is 1005945313. The next prime is 1005945341. The reversal of 1005945329 is 9235495001.

It is a cyclic number.

It is not a de Polignac number, because 1005945329 - 2⁴ = 1005945313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005945292 and 1005945301.

It is not an unprimeable number, because it can be changed into a prime (1005945389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249044 + ... + 253050.

It is an arithmetic number, because the mean of its divisors is an integer number (67474680).

Almost surely, 2^1005945329 is an apocalyptic number.

1005945329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1005945329 is a deficient number, since it is larger than the sum of its proper divisors (73649551).

1005945329 is a wasteful number, since it uses less digits than its factorization.

1005945329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280.

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 1005945329 is about 31716.6411998496. The cubic root of 1005945329 is about 1001.9778618169.

The spelling of 1005945329 in words is "one billion, five million, nine hundred forty-five thousand, three hundred twenty-nine".