205267032 has 96 divisors (see below), whose sum is σ = 589134000. Its totient is φ = 64385280.

The previous prime is 205267031. The next prime is 205267081. The reversal of 205267032 is 230762502.

It is a junction number, because it is equal to n+sod(n) for n = 205266987 and 205267005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205267031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247194 + ... + 248022.

Almost surely, 2^205267032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205267032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294567000).

205267032 is an abundant number, since it is smaller than the sum of its proper divisors (383866968).

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

205267032 is a wasteful number, since it uses less digits than its factorization.

205267032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 205267032 is about 14327.1431904619. The cubic root of 205267032 is about 589.8927622775.

The spelling of 205267032 in words is "two hundred five million, two hundred sixty-seven thousand, thirty-two".