1005931 has 2 divisors, whose sum is σ = 1005932. Its totient is φ = 1005930.

The previous prime is 1005913. The next prime is 1005937. The reversal of 1005931 is 1395001.

Together with previous prime (1005913) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (1395001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005931 - 2¹³ = 997739 is a prime.

It is a super-2 number, since 2×1005931² = 2023794353522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005899 and 1005908.

It is not a weakly prime, because it can be changed into another prime (1005937) 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 as a sum of consecutive naturals, namely, 502965 + 502966.

It is an arithmetic number, because the mean of its divisors is an integer number (502966).

2^1005931 is an apocalyptic number.

1005931 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005931 is an equidigital number, since it uses as much as digits as its factorization.

1005931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 1005931 is about 1002.9611158963. The cubic root of 1005931 is about 100.1973104299.

It can be divided in two parts, 1005 and 931, that added together give a square (1936 = 44²).

The spelling of 1005931 in words is "one million, five thousand, nine hundred thirty-one".