10087025 has 24 divisors (see below), whose sum is σ = 13816824. Its totient is φ = 7257600.

The previous prime is 10087019. The next prime is 10087027. The reversal of 10087025 is 52078001.

It can be written as a sum of positive squares in 12 ways, for example, as 6697744 + 3389281 = 2588^2 + 1841^2 .

It is not a de Polignac number, because 10087025 - 2⁴ = 10087009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10087027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12947 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (575701).

Almost surely, 2^10087025 is an apocalyptic number.

It is an amenable number.

10087025 is a deficient number, since it is larger than the sum of its proper divisors (3729799).

10087025 is a wasteful number, since it uses less digits than its factorization.

10087025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

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

The square root of 10087025 is about 3176.0077140964. The cubic root of 10087025 is about 216.0666303929.

It can be divided in two parts, 100 and 87025, that multiplied together give a square (8702500 = 2950²).

The spelling of 10087025 in words is "ten million, eighty-seven thousand, twenty-five".