205714032 has 40 divisors (see below), whose sum is σ = 531949584. Its totient is φ = 68504064.

The previous prime is 205714013. The next prime is 205714049. The reversal of 205714032 is 230417502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 205713993 and 205714011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81948 + ... + 84420.

Almost surely, 2^205714032 is an apocalyptic number.

It is an amenable number.

205714032 is an abundant number, since it is smaller than the sum of its proper divisors (326235552).

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

205714032 is a wasteful number, since it uses less digits than its factorization.

205714032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 205714032 is about 14342.7344673183. The cubic root of 205714032 is about 590.3206453961.

The spelling of 205714032 in words is "two hundred five million, seven hundred fourteen thousand, thirty-two".