2005731 has 48 divisors (see below), whose sum is σ = 3727360. Its totient is φ = 1010880.

The previous prime is 2005723. The next prime is 2005739. The reversal of 2005731 is 1375002.

It is an interprime number because it is at equal distance from previous prime (2005723) and next prime (2005739).

It is not a de Polignac number, because 2005731 - 2³ = 2005723 is a prime.

It is a super-2 number, since 2×2005731² = 8045913688722, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2005739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25350 + ... + 25428.

2^2005731 is an apocalyptic number.

2005731 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2005731 is a deficient number, since it is larger than the sum of its proper divisors (1721629).

2005731 is a wasteful number, since it uses less digits than its factorization.

2005731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 2005731 is about 1416.2383274011. The cubic root of 2005731 is about 126.1123336830.

The spelling of 2005731 in words is "two million, five thousand, seven hundred thirty-one".