1005753 has 16 divisors (see below), whose sum is σ = 1566720. Its totient is φ = 561936.

The previous prime is 1005751. The next prime is 1005761. The reversal of 1005753 is 3575001.

It is a happy number.

It is not a de Polignac number, because 1005753 - 2¹ = 1005751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478 + ... + 1496.

It is an arithmetic number, because the mean of its divisors is an integer number (97920).

2^1005753 is an apocalyptic number.

It is an amenable number.

1005753 is a deficient number, since it is larger than the sum of its proper divisors (560967).

1005753 is a wasteful number, since it uses less digits than its factorization.

1005753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 1005753 is about 1002.8723747317. The cubic root of 1005753 is about 100.1914000930.

The spelling of 1005753 in words is "one million, five thousand, seven hundred fifty-three".