205749738 has 24 divisors (see below), whose sum is σ = 455277888. Its totient is φ = 67123752.

The previous prime is 205749701. The next prime is 205749757. The reversal of 205749738 is 837947502.

205749738 is a `hidden beast` number, since 2 + 0 + 574 + 9 + 73 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 205749693 and 205749702.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120756 + ... + 122447.

It is an arithmetic number, because the mean of its divisors is an integer number (18969912).

Almost surely, 2^205749738 is an apocalyptic number.

205749738 is an abundant number, since it is smaller than the sum of its proper divisors (249528150).

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

205749738 is a wasteful number, since it uses less digits than its factorization.

205749738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243258 (or 243255 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 205749738 is about 14343.9791550323. The cubic root of 205749738 is about 590.3547976112.

The spelling of 205749738 in words is "two hundred five million, seven hundred forty-nine thousand, seven hundred thirty-eight".