10967125 has 32 divisors (see below), whose sum is σ = 15646176. Its totient is φ = 7603200.

The previous prime is 10967101. The next prime is 10967137. The reversal of 10967125 is 52176901.

10967125 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 16 ways, for example, as 7349521 + 3617604 = 2711^2 + 1902^2 .

It is not a de Polignac number, because 10967125 - 2⁵ = 10967093 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27427 + ... + 27823.

It is an arithmetic number, because the mean of its divisors is an integer number (488943).

Almost surely, 2^10967125 is an apocalyptic number.

It is an amenable number.

10967125 is a deficient number, since it is larger than the sum of its proper divisors (4679051).

10967125 is a wasteful number, since it uses less digits than its factorization.

10967125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 10967125 is about 3311.6649890954. The cubic root of 10967125 is about 222.1762323810.

The spelling of 10967125 in words is "ten million, nine hundred sixty-seven thousand, one hundred twenty-five".