1085733 has 18 divisors (see below), whose sum is σ = 1725542. Its totient is φ = 657360.

The previous prime is 1085719. The next prime is 1085737. The reversal of 1085733 is 3375801.

It can be written as a sum of positive squares in only one way, i.e., 1046529 + 39204 = 1023^2 + 198^2 .

It is not a de Polignac number, because 1085733 - 2⁹ = 1085221 is a prime.

It is a super-2 number, since 2×1085733² = 2357632294578, which contains 22 as substring.

It is a Duffinian number.

1085733 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1085697 and 1085706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 591 + ... + 1587.

2^1085733 is an apocalyptic number.

It is an amenable number.

1085733 is a deficient number, since it is larger than the sum of its proper divisors (639809).

1085733 is a wasteful number, since it uses less digits than its factorization.

1085733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1085733 is about 1041.9851246539. The cubic root of 1085733 is about 102.7797789617.

It can be divided in two parts, 10857 and 33, that multiplied together give a triangular number (358281 = T₈₄₆).

The spelling of 1085733 in words is "one million, eighty-five thousand, seven hundred thirty-three".