1005125 has 32 divisors (see below), whose sum is σ = 1482624. Its totient is φ = 672000.

The previous prime is 1005107. The next prime is 1005131. The reversal of 1005125 is 5215001.

It is not a de Polignac number, because 1005125 - 2¹⁸ = 742981 is a prime.

It is a congruent number.

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, 23354 + ... + 23396.

It is an arithmetic number, because the mean of its divisors is an integer number (46332).

2^1005125 is an apocalyptic number.

It is an amenable number.

1005125 is a deficient number, since it is larger than the sum of its proper divisors (477499).

1005125 is a wasteful number, since it uses less digits than its factorization.

1005125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 1005125 is about 1002.5592251832. The cubic root of 1005125 is about 100.1705423212.

It can be divided in two parts, 100 and 5125, that added together give a palindrome (5225).

The spelling of 1005125 in words is "one million, five thousand, one hundred twenty-five".