1004125 has 16 divisors (see below), whose sum is σ = 1301040. Its totient is φ = 772800.

The previous prime is 1004119. The next prime is 1004137. The reversal of 1004125 is 5214001.

It can be written as a sum of positive squares in 8 ways, for example, as 488601 + 515524 = 699^2 + 718^2 .

It is not a de Polignac number, because 1004125 - 2³ = 1004117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3487 + ... + 3763.

It is an arithmetic number, because the mean of its divisors is an integer number (81315).

2^1004125 is an apocalyptic number.

It is an amenable number.

1004125 is a deficient number, since it is larger than the sum of its proper divisors (296915).

1004125 is an equidigital number, since it uses as much as digits as its factorization.

1004125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1004125 is about 1002.0603774224. The cubic root of 1004125 is about 100.1373113696.

Adding to 1004125 its reverse (5214001), we get a palindrome (6218126).

It can be divided in two parts, 100 and 4125, that added together give a square (4225 = 65²).

The spelling of 1004125 in words is "one million, four thousand, one hundred twenty-five".