67103361 has 24 divisors (see below), whose sum is σ = 107987880. Its totient is φ = 39868416.

The previous prime is 67103359. The next prime is 67103389. The reversal of 67103361 is 16330176.

67103361 = 1594² + 1595² + ... + 1619².

It can be written as a sum of positive squares in 4 ways, for example, as 2461761 + 64641600 = 1569^2 + 8040^2 .

It is not a de Polignac number, because 67103361 - 2¹ = 67103359 is a prime.

It is a super-3 number, since 3×67103361³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (67103321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6496 + ... + 13281.

It is an arithmetic number, because the mean of its divisors is an integer number (4499495).

Almost surely, 2^67103361 is an apocalyptic number.

It is an amenable number.

67103361 is a deficient number, since it is larger than the sum of its proper divisors (40884519).

67103361 is a wasteful number, since it uses less digits than its factorization.

67103361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19825 (or 19822 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 67103361 is about 8191.6641166493. The cubic root of 67103361 is about 406.3635612783.

The spelling of 67103361 in words is "sixty-seven million, one hundred three thousand, three hundred sixty-one".