11766125 has 48 divisors (see below), whose sum is σ = 18246384. Its totient is φ = 7526400.

The previous prime is 11766119. The next prime is 11766151. The reversal of 11766125 is 52166711.

It can be written as a sum of positive squares in 8 ways, for example, as 5866084 + 5900041 = 2422^2 + 2429^2 .

It is not a de Polignac number, because 11766125 - 2⁴ = 11766109 is a prime.

It is a super-4 number, since 4×11766125⁴ (a number of 29 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104069 + ... + 104181.

It is an arithmetic number, because the mean of its divisors is an integer number (380133).

Almost surely, 2^11766125 is an apocalyptic number.

It is an amenable number.

11766125 is a deficient number, since it is larger than the sum of its proper divisors (6480259).

11766125 is a wasteful number, since it uses less digits than its factorization.

11766125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its digits is 2520, while the sum is 29.

The square root of 11766125 is about 3430.1785667805. The cubic root of 11766125 is about 227.4457464316.

It can be divided in two parts, 117661 and 25, that multiplied together give a triangular number (2941525 = T₂₄₂₅).

The spelling of 11766125 in words is "eleven million, seven hundred sixty-six thousand, one hundred twenty-five".