1007725 has 12 divisors (see below), whose sum is σ = 1262196. Its totient is φ = 798080.

The previous prime is 1007723. The next prime is 1007729. The reversal of 1007725 is 5277001.

It can be written as a sum of positive squares in 6 ways, for example, as 3721 + 1004004 = 61^2 + 1002^2 .

It is not a de Polignac number, because 1007725 - 2¹ = 1007723 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 1007696 and 1007705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007723) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4209 + ... + 4441.

It is an arithmetic number, because the mean of its divisors is an integer number (105183).

2^1007725 is an apocalyptic number.

It is an amenable number.

1007725 is a deficient number, since it is larger than the sum of its proper divisors (254471).

1007725 is a wasteful number, since it uses less digits than its factorization.

1007725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 1007725 is about 1003.8550692207. The cubic root of 1007725 is about 100.2568397686.

The spelling of 1007725 in words is "one million, seven thousand, seven hundred twenty-five".