205995465 has 96 divisors (see below), whose sum is σ = 408984576. Its totient is φ = 95178240.

The previous prime is 205995457. The next prime is 205995467. The reversal of 205995465 is 564599502.

It is a happy number.

205995465 is a `hidden beast` number, since 2 + 0 + 599 + 54 + 6 + 5 = 666.

It is not a de Polignac number, because 205995465 - 2³ = 205995457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 205995465.

It is not an unprimeable number, because it can be changed into a prime (205995467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 670842 + ... + 671148.

It is an arithmetic number, because the mean of its divisors is an integer number (4260256).

Almost surely, 2^205995465 is an apocalyptic number.

It is an amenable number.

205995465 is a deficient number, since it is larger than the sum of its proper divisors (202989111).

205995465 is a wasteful number, since it uses less digits than its factorization.

205995465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 205995465 is about 14352.5421093268. The cubic root of 205995465 is about 590.5897244406.

The spelling of 205995465 in words is "two hundred five million, nine hundred ninety-five thousand, four hundred sixty-five".