7131825 has 36 divisors (see below), whose sum is σ = 13226460. Its totient is φ = 3669120.

The previous prime is 7131797. The next prime is 7131841. The reversal of 7131825 is 5281317.

7131825 is digitally balanced in base 4, 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 6 ways, for example, as 288369 + 6843456 = 537^2 + 2616^2 .

It is not a de Polignac number, because 7131825 - 2⁵ = 7131793 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5979 + ... + 7071.

Almost surely, 2^7131825 is an apocalyptic number.

7131825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7131825 is a deficient number, since it is larger than the sum of its proper divisors (6094635).

7131825 is a wasteful number, since it uses less digits than its factorization.

7131825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 7131825 is about 2670.5476966345. The cubic root of 7131825 is about 192.4864779392.

The spelling of 7131825 in words is "seven million, one hundred thirty-one thousand, eight hundred twenty-five".