10367825 has 48 divisors (see below), whose sum is σ = 15415680. Its totient is φ = 6842880.

The previous prime is 10367813. The next prime is 10367827. The reversal of 10367825 is 52876301.

10367825 = 16² + 17² + ... + 314².

It is a happy number.

10367825 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 10367825 - 2¹⁰ = 10366801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10367791 and 10367800.

It is not an unprimeable number, because it can be changed into a prime (10367827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141989 + ... + 142061.

It is an arithmetic number, because the mean of its divisors is an integer number (321160).

Almost surely, 2^10367825 is an apocalyptic number.

It is an amenable number.

10367825 is a deficient number, since it is larger than the sum of its proper divisors (5047855).

10367825 is a wasteful number, since it uses less digits than its factorization.

10367825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 10367825 is about 3219.9107130478. The cubic root of 10367825 is about 218.0532442961.

The spelling of 10367825 in words is "ten million, three hundred sixty-seven thousand, eight hundred twenty-five".