7126825 has 24 divisors (see below), whose sum is σ = 9608760. Its totient is φ = 5222400.

The previous prime is 7126817. The next prime is 7126841. The reversal of 7126825 is 5286217.

7126825 = T₅₆₉ + T₅₇₀ + ... + T₆₀₉.

It can be written as a sum of positive squares in 12 ways, for example, as 1212201 + 5914624 = 1101^2 + 2432^2 .

It is not a de Polignac number, because 7126825 - 2³ = 7126817 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17221 + ... + 17629.

It is an arithmetic number, because the mean of its divisors is an integer number (400365).

Almost surely, 2^7126825 is an apocalyptic number.

It is an amenable number.

7126825 is a deficient number, since it is larger than the sum of its proper divisors (2481935).

7126825 is a wasteful number, since it uses less digits than its factorization.

7126825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 7126825 is about 2669.6113949412. The cubic root of 7126825 is about 192.4414844351.

It can be divided in two parts, 71 and 26825, that added together give a square (26896 = 164²).

The spelling of 7126825 in words is "seven million, one hundred twenty-six thousand, eight hundred twenty-five".