205677042 has 32 divisors (see below), whose sum is σ = 417752640. Its totient is φ = 67499520.

The previous prime is 205677007. The next prime is 205677061. The reversal of 205677042 is 240776502.

It is a junction number, because it is equal to n+sod(n) for n = 205676994 and 205677012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150442 + ... + 151802.

It is an arithmetic number, because the mean of its divisors is an integer number (13054770).

Almost surely, 2^205677042 is an apocalyptic number.

205677042 is an abundant number, since it is smaller than the sum of its proper divisors (212075598).

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

205677042 is a wasteful number, since it uses less digits than its factorization.

205677042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738.

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 205677042 is about 14341.4449062847. Note that the first 3 decimals coincide. The cubic root of 205677042 is about 590.2852608879.

The spelling of 205677042 in words is "two hundred five million, six hundred seventy-seven thousand, forty-two".