7564625 has 16 divisors (see below), whose sum is σ = 9581520. Its totient is φ = 5961600.

The previous prime is 7564619. The next prime is 7564649. The reversal of 7564625 is 5264657.

It can be written as a sum of positive squares in 8 ways, for example, as 1957201 + 5607424 = 1399^2 + 2368^2 .

It is not a de Polignac number, because 7564625 - 2¹⁰ = 7563601 is a prime.

It is a Curzon 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 15 ways as a sum of consecutive naturals, for example, 8711 + ... + 9539.

It is an arithmetic number, because the mean of its divisors is an integer number (598845).

Almost surely, 2^7564625 is an apocalyptic number.

It is an amenable number.

7564625 is a deficient number, since it is larger than the sum of its proper divisors (2016895).

7564625 is an equidigital number, since it uses as much as digits as its factorization.

7564625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 907 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 7564625 is about 2750.3863364989. The cubic root of 7564625 is about 196.3039934199.

Subtracting from 7564625 its reverse (5264657), we obtain a cube (2299968 = 132³).

The spelling of 7564625 in words is "seven million, five hundred sixty-four thousand, six hundred twenty-five".