1005672217 has 16 divisors (see below), whose sum is σ = 1146055680. Its totient is φ = 873536400.

The previous prime is 1005672193. The next prime is 1005672253. The reversal of 1005672217 is 7122765001.

It is not a de Polignac number, because 1005672217 - 2¹⁹ = 1005147929 is a prime.

It is a super-2 number, since 2×1005672217² = 2022753216091390178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005472217) 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, 325084 + ... + 328162.

It is an arithmetic number, because the mean of its divisors is an integer number (71628480).

Almost surely, 2^1005672217 is an apocalyptic number.

It is an amenable number.

1005672217 is a deficient number, since it is larger than the sum of its proper divisors (140383463).

1005672217 is a wasteful number, since it uses less digits than its factorization.

1005672217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 1005672217 is about 31712.3354075350. The cubic root of 1005672217 is about 1001.8871753289.

The spelling of 1005672217 in words is "one billion, five million, six hundred seventy-two thousand, two hundred seventeen".