211672007165 has 32 divisors (see below), whose sum is σ = 257292015840. Its totient is φ = 167165107200.

The previous prime is 211672007137. The next prime is 211672007171. The reversal of 211672007165 is 561700276112.

It can be written as a sum of positive squares in 16 ways, for example, as 211671766084 + 241081 = 460078^2 + 491^2 .

It is not a de Polignac number, because 211672007165 - 2¹⁰ = 211672006141 is a prime.

It is a super-2 number, since 2×211672007165² (a number of 23 digits) 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88899275 + ... + 88901655.

It is an arithmetic number, because the mean of its divisors is an integer number (8040375495).

Almost surely, 2^211672007165 is an apocalyptic number.

It is an amenable number.

211672007165 is a deficient number, since it is larger than the sum of its proper divisors (45620008675).

211672007165 is a wasteful number, since it uses less digits than its factorization.

211672007165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233.

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 211672007165 in words is "two hundred eleven billion, six hundred seventy-two million, seven thousand, one hundred sixty-five".