1087825 has 12 divisors (see below), whose sum is σ = 1376028. Its totient is φ = 852800.

The previous prime is 1087817. The next prime is 1087829. The reversal of 1087825 is 5287801.

It can be written as a sum of positive squares in 6 ways, for example, as 22801 + 1065024 = 151^2 + 1032^2 .

It is not a de Polignac number, because 1087825 - 2³ = 1087817 is a prime.

It is a d-powerful number, because it can be written as 1 + 0 + 8² + 7⁷ + 8⁶ + 2¹¹ + 5² .

It is a Duffinian number.

1087825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1087829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915 + ... + 1735.

It is an arithmetic number, because the mean of its divisors is an integer number (114669).

2^1087825 is an apocalyptic number.

It is an amenable number.

1087825 is a deficient number, since it is larger than the sum of its proper divisors (288203).

1087825 is an equidigital number, since it uses as much as digits as its factorization.

1087825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 1087825 is about 1042.9884946633. The cubic root of 1087825 is about 102.8457489400.

The spelling of 1087825 in words is "one million, eighty-seven thousand, eight hundred twenty-five".