1305528 has 64 divisors (see below), whose sum is σ = 3936000. Its totient is φ = 352512.

The previous prime is 1305527. The next prime is 1305533. The reversal of 1305528 is 8255031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1305498 and 1305507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2988 + ... + 3396.

It is an arithmetic number, because the mean of its divisors is an integer number (61500).

2^1305528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968000).

1305528 is an abundant number, since it is smaller than the sum of its proper divisors (2630472).

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

1305528 is a wasteful number, since it uses less digits than its factorization.

1305528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1305528 is about 1142.5970418306. The cubic root of 1305528 is about 109.2937674933.

The spelling of 1305528 in words is "one million, three hundred five thousand, five hundred twenty-eight".