1005128 has 8 divisors (see below), whose sum is σ = 1884630. Its totient is φ = 502560.

The previous prime is 1005107. The next prime is 1005131. The reversal of 1005128 is 8215001.

1005128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 964324 + 40804 = 982^2 + 202^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62813 + ... + 62828.

2^1005128 is an apocalyptic number.

It is an amenable number.

1005128 is a deficient number, since it is larger than the sum of its proper divisors (879502).

1005128 is a wasteful number, since it uses less digits than its factorization.

1005128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125647 (or 125643 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1005128 is about 1002.5607213531. The cubic root of 1005128 is about 100.1706419808.

The spelling of 1005128 in words is "one million, five thousand, one hundred twenty-eight".