205097634 has 72 divisors (see below), whose sum is σ = 521284608. Its totient is φ = 58106160.

The previous prime is 205097593. The next prime is 205097671. The reversal of 205097634 is 436790502.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111099 + ... + 112929.

It is an arithmetic number, because the mean of its divisors is an integer number (7240064).

Almost surely, 2^205097634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205097634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260642304).

205097634 is an abundant number, since it is smaller than the sum of its proper divisors (316186974).

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

205097634 is a wasteful number, since it uses less digits than its factorization.

205097634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 205097634 is about 14321.2301845896. The cubic root of 205097634 is about 589.7304466275.

The spelling of 205097634 in words is "two hundred five million, ninety-seven thousand, six hundred thirty-four".