205086772 has 36 divisors (see below), whose sum is σ = 395756928. Its totient is φ = 92923600.

The previous prime is 205086769. The next prime is 205086787. The reversal of 205086772 is 277680502.

It is a super-3 number, since 3×205086772³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237213 + ... + 238075.

It is an arithmetic number, because the mean of its divisors is an integer number (10993248).

Almost surely, 2^205086772 is an apocalyptic number.

205086772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

205086772 is a deficient number, since it is larger than the sum of its proper divisors (190670156).

205086772 is a wasteful number, since it uses less digits than its factorization.

205086772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 205086772 is about 14320.8509523701. The cubic root of 205086772 is about 589.7200357075.

The spelling of 205086772 in words is "two hundred five million, eighty-six thousand, seven hundred seventy-two".