1005693 has 16 divisors (see below), whose sum is σ = 1463616. Its totient is φ = 610560.

The previous prime is 1005679. The next prime is 1005701. The reversal of 1005693 is 3965001.

It is not a de Polignac number, because 1005693 - 2⁴ = 1005677 is a prime.

It is a super-2 number, since 2×1005693² = 2022836820498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005643) 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 15 ways as a sum of consecutive naturals, for example, 4053 + ... + 4293.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

2^1005693 is an apocalyptic number.

1005693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005693 is a deficient number, since it is larger than the sum of its proper divisors (457923).

1005693 is a wasteful number, since it uses less digits than its factorization.

1005693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 1005693 is about 1002.8424602100. The cubic root of 1005693 is about 100.1894076874.

The spelling of 1005693 in words is "one million, five thousand, six hundred ninety-three".