10368225 has 72 divisors (see below), whose sum is σ = 22052160. Its totient is φ = 4556160.

The previous prime is 10368209. The next prime is 10368227. The reversal of 10368225 is 52286301.

10368225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10368225 - 2⁴ = 10368209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10368227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45562 + ... + 45788.

It is an arithmetic number, because the mean of its divisors is an integer number (306280).

Almost surely, 2^10368225 is an apocalyptic number.

10368225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10368225 is an abundant number, since it is smaller than the sum of its proper divisors (11683935).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10368225 is a wasteful number, since it uses less digits than its factorization.

10368225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10368225 is about 3219.9728259723. The cubic root of 10368225 is about 218.0560484901.

It can be divided in two parts, 1036 and 8225, that added together give a cube (9261 = 21³).

The spelling of 10368225 in words is "ten million, three hundred sixty-eight thousand, two hundred twenty-five".