1005961791 has 16 divisors (see below), whose sum is σ = 1423180800. Its totient is φ = 629858688.

The previous prime is 1005961771. The next prime is 1005961829. The reversal of 1005961791 is 1971695001.

It is not a de Polignac number, because 1005961791 - 2¹⁴ = 1005945407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005961711) 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, 3840 + ... + 45018.

It is an arithmetic number, because the mean of its divisors is an integer number (88948800).

Almost surely, 2^1005961791 is an apocalyptic number.

1005961791 is a deficient number, since it is larger than the sum of its proper divisors (417219009).

1005961791 is a wasteful number, since it uses less digits than its factorization.

1005961791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41678.

The product of its (nonzero) digits is 17010, while the sum is 39.

The square root of 1005961791 is about 31716.9007155491. The cubic root of 1005961791 is about 1001.9833274782.

The spelling of 1005961791 in words is "one billion, five million, nine hundred sixty-one thousand, seven hundred ninety-one".