205978041 has 48 divisors (see below), whose sum is σ = 323047296. Its totient is φ = 126137088.

The previous prime is 205978013. The next prime is 205978049. The reversal of 205978041 is 140879502.

205978041 is a `hidden beast` number, since 20 + 597 + 8 + 0 + 41 = 666.

It is not a de Polignac number, because 205978041 - 2⁷ = 205977913 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 205977987 and 205978005.

It is not an unprimeable number, because it can be changed into a prime (205978049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649615 + ... + 649931.

It is an arithmetic number, because the mean of its divisors is an integer number (6730152).

Almost surely, 2^205978041 is an apocalyptic number.

It is an amenable number.

205978041 is a deficient number, since it is larger than the sum of its proper divisors (117069255).

205978041 is a wasteful number, since it uses less digits than its factorization.

205978041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 205978041 is about 14351.9350960071. The cubic root of 205978041 is about 590.5730724146.

The spelling of 205978041 in words is "two hundred five million, nine hundred seventy-eight thousand, forty-one".