1006125 has 16 divisors (see below), whose sum is σ = 1674816. Its totient is φ = 536400.

The previous prime is 1006123. The next prime is 1006133. The reversal of 1006125 is 5216001.

It is not a de Polignac number, because 1006125 - 2¹ = 1006123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

1006125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 967 + ... + 1716.

It is an arithmetic number, because the mean of its divisors is an integer number (104676).

2^1006125 is an apocalyptic number.

1006125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006125 is a deficient number, since it is larger than the sum of its proper divisors (668691).

1006125 is an equidigital number, since it uses as much as digits as its factorization.

1006125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1006125 is about 1003.0578248536. The cubic root of 1006125 is about 100.2037512390.

The spelling of 1006125 in words is "one million, six thousand, one hundred twenty-five".