1005136 has 20 divisors (see below), whose sum is σ = 2124864. Its totient is φ = 456800.

The previous prime is 1005133. The next prime is 1005143. The reversal of 1005136 is 6315001.

1005136 = 51² + 52² + ... + 146².

1005136 is nontrivially palindromic in base 15.

1005136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2680 + ... + 3031.

2^1005136 is an apocalyptic number.

1005136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1005136 is an abundant number, since it is smaller than the sum of its proper divisors (1119728).

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

1005136 is a wasteful number, since it uses less digits than its factorization.

1005136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1005136 is about 1002.5647111284. The cubic root of 1005136 is about 100.1709077390.

The spelling of 1005136 in words is "one million, five thousand, one hundred thirty-six".