1085652 has 36 divisors (see below), whose sum is σ = 2800980. Its totient is φ = 354432.

The previous prime is 1085633. The next prime is 1085657. The reversal of 1085652 is 2565801.

1085652 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 652 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 617796 = 684^2 + 786^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085657) 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 11 ways as a sum of consecutive naturals, for example, 1624 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

2^1085652 is an apocalyptic number.

1085652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400490).

1085652 is an abundant number, since it is smaller than the sum of its proper divisors (1715328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1085652 is a wasteful number, since it uses less digits than its factorization.

1085652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1085652 is about 1041.9462558117. The cubic root of 1085652 is about 102.7772229713. Note that the first 3 decimals are identical.

The spelling of 1085652 in words is "one million, eighty-five thousand, six hundred fifty-two".