205771995 has 240 divisors, whose sum is σ = 486652320. Its totient is φ = 82114560.

The previous prime is 205771967. The next prime is 205772009. The reversal of 205771995 is 599177502.

It is not a de Polignac number, because 205771995 - 2⁵ = 205771963 is a prime.

It is a super-2 number, since 2×205771995² = 84684227852560050, which contains 22 as substring.

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 205771995.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10830096 + ... + 10830114.

It is an arithmetic number, because the mean of its divisors is an integer number (2027718).

Almost surely, 2^205771995 is an apocalyptic number.

205771995 is an abundant number, since it is smaller than the sum of its proper divisors (280880325).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205771995 is a wasteful number, since it uses less digits than its factorization.

205771995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 205771995 is about 14344.7549647946. The cubic root of 205771995 is about 590.3760840749.

The spelling of 205771995 in words is "two hundred five million, seven hundred seventy-one thousand, nine hundred ninety-five".