205666332 has 48 divisors (see below), whose sum is σ = 495500544. Its totient is φ = 66352000.

The previous prime is 205666327. The next prime is 205666337. The reversal of 205666332 is 233666502.

It is an interprime number because it is at equal distance from previous prime (205666327) and next prime (205666337).

It is a junction number, because it is equal to n+sod(n) for n = 205666293 and 205666302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205666337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62857 + ... + 66047.

It is an arithmetic number, because the mean of its divisors is an integer number (10322928).

Almost surely, 2^205666332 is an apocalyptic number.

It is an amenable number.

205666332 is an abundant number, since it is smaller than the sum of its proper divisors (289834212).

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

205666332 is a wasteful number, since it uses less digits than its factorization.

205666332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 205666332 is about 14341.0715080847. The cubic root of 205666332 is about 590.2750149463.

The spelling of 205666332 in words is "two hundred five million, six hundred sixty-six thousand, three hundred thirty-two".