7164125 has 16 divisors (see below), whose sum is σ = 9188400. Its totient is φ = 5572800.

The previous prime is 7164119. The next prime is 7164127. The reversal of 7164125 is 5214617.

It can be written as a sum of positive squares in 8 ways, for example, as 1413721 + 5750404 = 1189^2 + 2398^2 .

It is not a de Polignac number, because 7164125 - 2⁸ = 7163869 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7164094 and 7164103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7164127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3851 + ... + 5399.

It is an arithmetic number, because the mean of its divisors is an integer number (574275).

Almost surely, 2^7164125 is an apocalyptic number.

It is an amenable number.

7164125 is a deficient number, since it is larger than the sum of its proper divisors (2024275).

7164125 is a wasteful number, since it uses less digits than its factorization.

7164125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1591 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 7164125 is about 2676.5883135066. The cubic root of 7164125 is about 192.7766304468.

The spelling of 7164125 in words is "seven million, one hundred sixty-four thousand, one hundred twenty-five".