1005738345 has 24 divisors (see below), whose sum is σ = 1747097352. Its totient is φ = 535219200.

The previous prime is 1005738311. The next prime is 1005738347. The reversal of 1005738345 is 5438375001.

1005738345 is a `hidden beast` number, since 1 + 0 + 0 + 573 + 83 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 303700329 + 702038016 = 17427^2 + 26496^2 .

It is not a de Polignac number, because 1005738345 - 2⁶ = 1005738281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005738347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3496 + ... + 44985.

It is an arithmetic number, because the mean of its divisors is an integer number (72795723).

Almost surely, 2^1005738345 is an apocalyptic number.

1005738345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005738345 is a deficient number, since it is larger than the sum of its proper divisors (741359007).

1005738345 is a wasteful number, since it uses less digits than its factorization.

1005738345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48953 (or 48950 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1005738345 is about 31713.3780130720. The cubic root of 1005738345 is about 1001.9091345525.

The spelling of 1005738345 in words is "one billion, five million, seven hundred thirty-eight thousand, three hundred forty-five".