67542813 has 24 divisors (see below), whose sum is σ = 105764568. Its totient is φ = 41288832.

The previous prime is 67542793. The next prime is 67542817. The reversal of 67542813 is 31824576.

It can be written as a sum of positive squares in 4 ways, for example, as 4149369 + 63393444 = 2037^2 + 7962^2 .

It is not a de Polignac number, because 67542813 - 2⁸ = 67542557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67542817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16531 + ... + 20207.

It is an arithmetic number, because the mean of its divisors is an integer number (4406857).

Almost surely, 2^67542813 is an apocalyptic number.

It is an amenable number.

67542813 is a deficient number, since it is larger than the sum of its proper divisors (38221755).

67542813 is a wasteful number, since it uses less digits than its factorization.

67542813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3850 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 67542813 is about 8218.4434657665. The cubic root of 67542813 is about 407.2487075264.

The spelling of 67542813 in words is "sixty-seven million, five hundred forty-two thousand, eight hundred thirteen".