7825133 has 2 divisors, whose sum is σ = 7825134. Its totient is φ = 7825132.

The previous prime is 7825121. The next prime is 7825189. The reversal of 7825133 is 3315287.

7825133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6770404 + 1054729 = 2602^2 + 1027^2 .

It is an emirp because it is prime and its reverse (3315287) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7825133 - 2¹⁰ = 7824109 is a prime.

It is a super-2 number, since 2×7825133² = 122465412935378, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7825096 and 7825105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7825193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3912566 + 3912567.

It is an arithmetic number, because the mean of its divisors is an integer number (3912567).

Almost surely, 2^7825133 is an apocalyptic number.

It is an amenable number.

7825133 is a deficient number, since it is larger than the sum of its proper divisors (1).

7825133 is an equidigital number, since it uses as much as digits as its factorization.

7825133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5040, while the sum is 29.

The square root of 7825133 is about 2797.3439187915. The cubic root of 7825133 is about 198.5320266327.

The spelling of 7825133 in words is "seven million, eight hundred twenty-five thousand, one hundred thirty-three".