1005723 has 12 divisors (see below), whose sum is σ = 1497720. Its totient is φ = 667008.

The previous prime is 1005709. The next prime is 1005751. The reversal of 1005723 is 3275001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 1005723 - 2⁸ = 1005467 is a prime.

It is a super-2 number, since 2×1005723² = 2022957505458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005696 and 1005705.

It is not an unprimeable number, because it can be changed into a prime (1005223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5115 + ... + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (124810).

2^1005723 is an apocalyptic number.

1005723 is a deficient number, since it is larger than the sum of its proper divisors (491997).

1005723 is an frugal number, since it uses more digits than its factorization.

1005723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 196 counting only the distinct ones).

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

The square root of 1005723 is about 1002.8574175824. The cubic root of 1005723 is about 100.1904039001.

It can be divided in two parts, 1005 and 723, that multiplied together give a triangular number (726615 = T₁₂₀₅).

The spelling of 1005723 in words is "one million, five thousand, seven hundred twenty-three".