217052005 has 12 divisors (see below), whose sum is σ = 276686820. Its totient is φ = 163426304.

The previous prime is 217051993. The next prime is 217052047. The reversal of 217052005 is 500250712.

It can be written as a sum of positive squares in 6 ways, for example, as 7873636 + 209178369 = 2806^2 + 14463^2 .

It is not a de Polignac number, because 217052005 - 2¹¹ = 217049957 is a prime.

It is a super-2 number, since 2×217052005² = 94223145749040050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73660 + ... + 76549.

It is an arithmetic number, because the mean of its divisors is an integer number (23057235).

Almost surely, 2^217052005 is an apocalyptic number.

It is an amenable number.

217052005 is a deficient number, since it is larger than the sum of its proper divisors (59634815).

217052005 is a wasteful number, since it uses less digits than its factorization.

217052005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150248 (or 150231 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 217052005 is about 14732.6849216292. The cubic root of 217052005 is about 600.9725015865.

The spelling of 217052005 in words is "two hundred seventeen million, fifty-two thousand, five".