1085753 has 2 divisors, whose sum is σ = 1085754. Its totient is φ = 1085752.

The previous prime is 1085737. The next prime is 1085767. The reversal of 1085753 is 3575801.

1085753 is nontrivially palindromic in base 3.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 659344 + 426409 = 812^2 + 653^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085753 - 2⁴ = 1085737 is a prime.

It is equal to p₈₄₆₈₃ and since 1085753 and 84683 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (1085053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542876 + 542877.

It is an arithmetic number, because the mean of its divisors is an integer number (542877).

2^1085753 is an apocalyptic number.

It is an amenable number.

1085753 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085753 is an equidigital number, since it uses as much as digits as its factorization.

1085753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 1085753 is about 1041.9947216757. The cubic root of 1085753 is about 102.7804100508.

The spelling of 1085753 in words is "one million, eighty-five thousand, seven hundred fifty-three".