67205313 has 18 divisors (see below), whose sum is σ = 112923954. Its totient is φ = 38402784.

The previous prime is 67205297. The next prime is 67205321. The reversal of 67205313 is 31350276.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66389904 + 815409 = 8148^2 + 903^2 .

It is not a de Polignac number, because 67205313 - 2⁴ = 67205297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67205363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75756 + ... + 76637.

It is an arithmetic number, because the mean of its divisors is an integer number (6273553).

Almost surely, 2^67205313 is an apocalyptic number.

67205313 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

67205313 is a deficient number, since it is larger than the sum of its proper divisors (45718641).

67205313 is a wasteful number, since it uses less digits than its factorization.

67205313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152413 (or 152403 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 67205313 is about 8197.8846661807. The cubic root of 67205313 is about 406.5692569552.

Adding to 67205313 its reverse (31350276), we get a palindrome (98555589).

The spelling of 67205313 in words is "sixty-seven million, two hundred five thousand, three hundred thirteen".