10187825 has 12 divisors (see below), whose sum is σ = 12848880. Its totient is φ = 8010960.

The previous prime is 10187753. The next prime is 10187843. The reversal of 10187825 is 52878101.

It is a happy number.

10187825 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 10187825 - 2¹⁶ = 10122289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10187791 and 10187800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1979 + ... + 4928.

It is an arithmetic number, because the mean of its divisors is an integer number (1070740).

Almost surely, 2^10187825 is an apocalyptic number.

It is an amenable number.

10187825 is a deficient number, since it is larger than the sum of its proper divisors (2661055).

10187825 is an equidigital number, since it uses as much as digits as its factorization.

10187825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 10187825 is about 3191.8372452241. The cubic root of 10187825 is about 216.7839667273.

The spelling of 10187825 in words is "ten million, one hundred eighty-seven thousand, eight hundred twenty-five".