6725633 has 2 divisors, whose sum is σ = 6725634. Its totient is φ = 6725632.

The previous prime is 6725611. The next prime is 6725657. The reversal of 6725633 is 3365276.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6697744 + 27889 = 2588^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 6725633 - 2⁸ = 6725377 is a prime.

It is equal to p₄₅₉₁₆₇ and since 6725633 and 459167 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 6725633.

It is not a weakly prime, because it can be changed into another prime (6725533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3362816 + 3362817.

It is an arithmetic number, because the mean of its divisors is an integer number (3362817).

It is a Proth number, since it is equal to 821 ⋅ 2¹³ + 1 and 821 < 2¹³.

Almost surely, 2^6725633 is an apocalyptic number.

It is an amenable number.

6725633 is a deficient number, since it is larger than the sum of its proper divisors (1).

6725633 is an equidigital number, since it uses as much as digits as its factorization.

6725633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 32.

The square root of 6725633 is about 2593.3825402358. The cubic root of 6725633 is about 188.7604722053.

It can be divided in two parts, 672 and 5633, that multiplied together give a triangular number (3785376 = T₂₇₅₁).

The spelling of 6725633 in words is "six million, seven hundred twenty-five thousand, six hundred thirty-three".