205354006 has 32 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 85925280.

The previous prime is 205354003. The next prime is 205354021. The reversal of 205354006 is 600453502.

205354006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205354003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136245 + ... + 137743.

It is an arithmetic number, because the mean of its divisors is an integer number (11340000).

Almost surely, 2^205354006 is an apocalyptic number.

205354006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

205354006 is a deficient number, since it is larger than the sum of its proper divisors (157525994).

205354006 is a wasteful number, since it uses less digits than its factorization.

205354006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004.

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 205354006 is about 14330.1781566036. The cubic root of 205354006 is about 589.9760652935.

The spelling of 205354006 in words is "two hundred five million, three hundred fifty-four thousand, six".