1005765 has 16 divisors (see below), whose sum is σ = 1694400. Its totient is φ = 508032.

The previous prime is 1005761. The next prime is 1005821. The reversal of 1005765 is 5675001.

It is not a de Polignac number, because 1005765 - 2² = 1005761 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480 + ... + 2049.

It is an arithmetic number, because the mean of its divisors is an integer number (105900).

2^1005765 is an apocalyptic number.

1005765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005765 is a deficient number, since it is larger than the sum of its proper divisors (688635).

1005765 is a wasteful number, since it uses less digits than its factorization.

1005765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 1005765 is about 1002.8783575290. The cubic root of 1005765 is about 100.1917985646.

It can be divided in two parts, 1005 and 765, that added together give a triangular number (1770 = T₅₉).

The spelling of 1005765 in words is "one million, five thousand, seven hundred sixty-five".