205831740 has 48 divisors (see below), whose sum is σ = 591911712. Its totient is φ = 53404416.

The previous prime is 205831739. The next prime is 205831741. The reversal of 205831740 is 47138502.

205831740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205831739) and next prime (205831741).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 205831698 and 205831707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205831741) 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, 44139 + ... + 48578.

It is an arithmetic number, because the mean of its divisors is an integer number (12331494).

Almost surely, 2^205831740 is an apocalyptic number.

205831740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205831740 is an abundant number, since it is smaller than the sum of its proper divisors (386079972).

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

205831740 is a wasteful number, since it uses less digits than its factorization.

205831740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92766 (or 92764 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 205831740 is about 14346.8372821330. The cubic root of 205831740 is about 590.4332162517.

The spelling of 205831740 in words is "two hundred five million, eight hundred thirty-one thousand, seven hundred forty".