1005963795 has 96 divisors (see below), whose sum is σ = 1873797120. Its totient is φ = 498389760.

The previous prime is 1005963787. The next prime is 1005963809. The reversal of 1005963795 is 5973695001.

1005963795 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 9 + 637 + 9 + 5 = 666.

It is not a de Polignac number, because 1005963795 - 2³ = 1005963787 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1005963795.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4392741 + ... + 4392969.

It is an arithmetic number, because the mean of its divisors is an integer number (19518720).

Almost surely, 2^1005963795 is an apocalyptic number.

1005963795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005963795 is a deficient number, since it is larger than the sum of its proper divisors (867833325).

1005963795 is a wasteful number, since it uses less digits than its factorization.

1005963795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 1005963795 is about 31716.9323075231. The cubic root of 1005963795 is about 1001.9839928359.

The spelling of 1005963795 in words is "one billion, five million, nine hundred sixty-three thousand, seven hundred ninety-five".