1027417005 has 24 divisors (see below), whose sum is σ = 1783069080. Its totient is φ = 547274880.

The previous prime is 1027416983. The next prime is 1027417007. The reversal of 1027417005 is 5007147201.

It can be written as a sum of positive squares in 4 ways, for example, as 95824521 + 931592484 = 9789^2 + 30522^2 .

It is not a de Polignac number, because 1027417005 - 2⁶ = 1027416941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1027417005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027417007) 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, 23535 + ... + 51075.

It is an arithmetic number, because the mean of its divisors is an integer number (74294545).

Almost surely, 2^1027417005 is an apocalyptic number.

1027417005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1027417005 is a deficient number, since it is larger than the sum of its proper divisors (755652075).

1027417005 is a wasteful number, since it uses less digits than its factorization.

1027417005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28381 (or 28378 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1027417005 is about 32053.3462371716. The cubic root of 1027417005 is about 1009.0567296899.

It can be divided in two parts, 102741 and 7005, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 1027417005 in words is "one billion, twenty-seven million, four hundred seventeen thousand, five".