1004312771 has 24 divisors (see below), whose sum is σ = 1278776304. Its totient is φ = 779950080.

The previous prime is 1004312767. The next prime is 1004312789. The reversal of 1004312771 is 1772134001.

It is a happy number.

It is not a de Polignac number, because 1004312771 - 2² = 1004312767 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004312771.

It is not an unprimeable number, because it can be changed into a prime (1004312371) 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, 165731 + ... + 171683.

It is an arithmetic number, because the mean of its divisors is an integer number (53282346).

Almost surely, 2^1004312771 is an apocalyptic number.

1004312771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1004312771 is a deficient number, since it is larger than the sum of its proper divisors (274463533).

1004312771 is a wasteful number, since it uses less digits than its factorization.

1004312771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 1004312771 is about 31690.8941338044. The cubic root of 1004312771 is about 1001.4355286049.

Adding to 1004312771 its reverse (1772134001), we get a palindrome (2776446772).

The spelling of 1004312771 in words is "one billion, four million, three hundred twelve thousand, seven hundred seventy-one".