205741965 has 32 divisors (see below), whose sum is σ = 386741376. Its totient is φ = 92079360.

The previous prime is 205741931. The next prime is 205741993. The reversal of 205741965 is 569147502.

It is not a de Polignac number, because 205741965 - 2¹² = 205737869 is a prime.

It is a super-2 number, since 2×205741965² = 84659512324122450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45814 + ... + 50103.

It is an arithmetic number, because the mean of its divisors is an integer number (12085668).

Almost surely, 2^205741965 is an apocalyptic number.

It is an amenable number.

205741965 is a deficient number, since it is larger than the sum of its proper divisors (180999411).

205741965 is a wasteful number, since it uses less digits than its factorization.

205741965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95949.

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 205741965 is about 14343.7082025535. The cubic root of 205741965 is about 590.3473631981.

The spelling of 205741965 in words is "two hundred five million, seven hundred forty-one thousand, nine hundred sixty-five".