205715970 has 64 divisors (see below), whose sum is σ = 550851840. Its totient is φ = 54630144.

The previous prime is 205715947. The next prime is 205715987. The reversal of 205715970 is 79517502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69562 + ... + 72458.

It is an arithmetic number, because the mean of its divisors is an integer number (8607060).

Almost surely, 2^205715970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205715970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275425920).

205715970 is an abundant number, since it is smaller than the sum of its proper divisors (345135870).

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

205715970 is a wasteful number, since it uses less digits than its factorization.

205715970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 205715970 is about 14342.8020274980. The cubic root of 205715970 is about 590.3224991634.

The spelling of 205715970 in words is "two hundred five million, seven hundred fifteen thousand, nine hundred seventy".