1206672165 has 48 divisors (see below), whose sum is σ = 2170162800. Its totient is φ = 619508736.

The previous prime is 1206672133. The next prime is 1206672191. The reversal of 1206672165 is 5612766021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 74080449 + 1132591716 = 8607^2 + 33654^2 .

It is not a de Polignac number, because 1206672165 - 2⁵ = 1206672133 is a prime.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 506457 + ... + 508833.

It is an arithmetic number, because the mean of its divisors is an integer number (45211725).

Almost surely, 2^1206672165 is an apocalyptic number.

1206672165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1206672165 is a deficient number, since it is larger than the sum of its proper divisors (963490635).

1206672165 is a wasteful number, since it uses less digits than its factorization.

1206672165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1206672165 is about 34737.1870622824. The cubic root of 1206672165 is about 1064.6244394225.

The spelling of 1206672165 in words is "one billion, two hundred six million, six hundred seventy-two thousand, one hundred sixty-five".