1007825 has 24 divisors (see below), whose sum is σ = 1541568. Its totient is φ = 636480.

The previous prime is 1007819. The next prime is 1007827. The reversal of 1007825 is 5287001.

1007825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1007825 - 2¹² = 1003729 is a prime.

It is a super-2 number, since 2×1007825² = 2031422461250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1007825.

It is not an unprimeable number, because it can be changed into a prime (1007827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2054 + ... + 2496.

It is an arithmetic number, because the mean of its divisors is an integer number (64232).

2^1007825 is an apocalyptic number.

It is an amenable number.

1007825 is a deficient number, since it is larger than the sum of its proper divisors (533743).

1007825 is a wasteful number, since it uses less digits than its factorization.

1007825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 1007825 is about 1003.9048759718. The cubic root of 1007825 is about 100.2601559353.

The spelling of 1007825 in words is "one million, seven thousand, eight hundred twenty-five".