10025 has 6 divisors (see below), whose sum is σ = 12462. Its totient is φ = 8000.

The previous prime is 10009. The next prime is 10037. The reversal of 10025 is 52001.

10025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 6889 = 56^2 + 83^2 .

It is not a de Polignac number, because 10025 - 2⁴ = 10009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 9994 and 10021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (2077).

2¹⁰⁰²⁵ is an apocalyptic number.

It is an amenable number.

10025 is a deficient number, since it is larger than the sum of its proper divisors (2437).

10025 is an equidigital number, since it uses as much as digits as its factorization.

10025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 10025 is about 100.1249219725. The cubic root of 10025 is about 21.5622855821.

Adding to 10025 its reverse (52001), we get a palindrome (62026).

It can be divided in two parts, 100 and 25, that multiplied together give a square (2500 = 50²).

The spelling of 10025 in words is "ten thousand, twenty-five".