67765825 has 24 divisors (see below), whose sum is σ = 91166040. Its totient is φ = 49766400.

The previous prime is 67765813. The next prime is 67765829. The reversal of 67765825 is 52856776.

It is a Cunningham number, because it is equal to 8232²+1.

It can be written as a sum of positive squares in 12 ways, for example, as 18653761 + 49112064 = 4319^2 + 7008^2 .

It is not a de Polignac number, because 67765825 - 2⁵ = 67765793 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (67765829) 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 in 23 ways as a sum of consecutive naturals, for example, 15481 + ... + 19369.

It is an arithmetic number, because the mean of its divisors is an integer number (3798585).

Almost surely, 2^67765825 is an apocalyptic number.

It is an amenable number.

67765825 is a deficient number, since it is larger than the sum of its proper divisors (23400215).

67765825 is a wasteful number, since it uses less digits than its factorization.

67765825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3952 counting only the distinct ones).

The product of its digits is 705600, while the sum is 46.

The square root of 67765825 is about 8232.0000607386. Note that the first 4 decimals coincide. The cubic root of 67765825 is about 407.6964313236.

The spelling of 67765825 in words is "sixty-seven million, seven hundred sixty-five thousand, eight hundred twenty-five".