1205657165 has 32 divisors (see below), whose sum is σ = 1519378560. Its totient is φ = 917280000.

The previous prime is 1205657149. The next prime is 1205657209. The reversal of 1205657165 is 5617565021.

It is not a de Polignac number, because 1205657165 - 2⁴ = 1205657149 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4803290 + ... + 4803540.

It is an arithmetic number, because the mean of its divisors is an integer number (47480580).

Almost surely, 2^1205657165 is an apocalyptic number.

It is an amenable number.

1205657165 is a deficient number, since it is larger than the sum of its proper divisors (313721395).

1205657165 is a wasteful number, since it uses less digits than its factorization.

1205657165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653.

The product of its (nonzero) digits is 63000, while the sum is 38.

The square root of 1205657165 is about 34722.5742853263. The cubic root of 1205657165 is about 1064.3258504707.

The spelling of 1205657165 in words is "one billion, two hundred five million, six hundred fifty-seven thousand, one hundred sixty-five".