10725167 has 2 divisors, whose sum is σ = 10725168. Its totient is φ = 10725166.

The previous prime is 10725137. The next prime is 10725173. The reversal of 10725167 is 76152701.

10725167 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10725167 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10725137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5362583 + 5362584.

It is an arithmetic number, because the mean of its divisors is an integer number (5362584).

Almost surely, 2^10725167 is an apocalyptic number.

10725167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10725167 is an equidigital number, since it uses as much as digits as its factorization.

10725167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 10725167 is about 3274.9300755894. The cubic root of 10725167 is about 220.5301744827.

Adding to 10725167 its reverse (76152701), we get a palindrome (86877868).

It can be divided in two parts, 107251 and 67, that multiplied together give a palindrome (7185817).

The spelling of 10725167 in words is "ten million, seven hundred twenty-five thousand, one hundred sixty-seven".