205978029 has 32 divisors (see below), whose sum is σ = 287981568. Its totient is φ = 130872000.

The previous prime is 205978013. The next prime is 205978049. The reversal of 205978029 is 920879502.

It is not a de Polignac number, because 205978029 - 2⁴ = 205978013 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1078324 + ... + 1078514.

It is an arithmetic number, because the mean of its divisors is an integer number (8999424).

Almost surely, 2^205978029 is an apocalyptic number.

It is an amenable number.

205978029 is a deficient number, since it is larger than the sum of its proper divisors (82003539).

205978029 is a wasteful number, since it uses less digits than its factorization.

205978029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 205978029 is about 14351.9346779450. The cubic root of 205978029 is about 590.5730609459.

The spelling of 205978029 in words is "two hundred five million, nine hundred seventy-eight thousand, twenty-nine".