1005671657 has 16 divisors (see below), whose sum is σ = 1071841680. Its totient is φ = 941875200.

The previous prime is 1005671647. The next prime is 1005671683. The reversal of 1005671657 is 7561765001.

It can be written as a sum of positive squares in 8 ways, for example, as 99420841 + 906250816 = 9971^2 + 30104^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005671657 - 2¹⁸ = 1005409513 is a prime.

It is a super-2 number, since 2×1005671657² = 2022750963386251298, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005671657.

It is not an unprimeable number, because it can be changed into a prime (1005671647) 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, 212873 + ... + 217545.

It is an arithmetic number, because the mean of its divisors is an integer number (66990105).

Almost surely, 2^1005671657 is an apocalyptic number.

It is an amenable number.

1005671657 is a deficient number, since it is larger than the sum of its proper divisors (66170023).

1005671657 is a wasteful number, since it uses less digits than its factorization.

1005671657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924.

The product of its (nonzero) digits is 44100, while the sum is 38.

The square root of 1005671657 is about 31712.3265781620. The cubic root of 1005671657 is about 1001.8869893648.

The spelling of 1005671657 in words is "one billion, five million, six hundred seventy-one thousand, six hundred fifty-seven".