1125306 has 64 divisors (see below), whose sum is σ = 3091200. Its totient is φ = 295488.

The previous prime is 1125283. The next prime is 1125317. The reversal of 1125306 is 6035211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4800 + ... + 5028.

It is an arithmetic number, because the mean of its divisors is an integer number (48300).

2^1125306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545600).

1125306 is an abundant number, since it is smaller than the sum of its proper divisors (1965894).

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

1125306 is a wasteful number, since it uses less digits than its factorization.

1125306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1125306 is about 1060.8044117555. The cubic root of 1125306 is about 104.0136200111.

It can be divided in two parts, 1125 and 306, that added together give a triangular number (1431 = T₅₃).

The spelling of 1125306 in words is "one million, one hundred twenty-five thousand, three hundred six".