1005730947 has 24 divisors (see below), whose sum is σ = 1573869024. Its totient is φ = 615193344.

The previous prime is 1005730919. The next prime is 1005730951. The reversal of 1005730947 is 7490375001.

It is a happy number.

It is not a de Polignac number, because 1005730947 - 2¹⁵ = 1005698179 is a prime.

It is a super-3 number, since 3×1005730947³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1005730967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6198 + ... + 45275.

It is an arithmetic number, because the mean of its divisors is an integer number (65577876).

Almost surely, 2^1005730947 is an apocalyptic number.

1005730947 is a deficient number, since it is larger than the sum of its proper divisors (568138077).

1005730947 is a wasteful number, since it uses less digits than its factorization.

1005730947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51659 (or 51656 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1005730947 is about 31713.2613743841. The cubic root of 1005730947 is about 1001.9066779354.

The spelling of 1005730947 in words is "one billion, five million, seven hundred thirty thousand, nine hundred forty-seven".