67914081 has 27 divisors (see below), whose sum is σ = 102072243. Its totient is φ = 43512480.

The previous prime is 67914019. The next prime is 67914097. The reversal of 67914081 is 18041976.

The square root of 67914081 is 8241.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3272481 + 64641600 = 1809^2 + 8040^2 .

It is not a de Polignac number, because 67914081 - 2⁷ = 67913953 is a prime.

It is a super-2 number, since 2×67914081² = 9224644796149122, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67914181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1013610 + ... + 1013676.

Almost surely, 2^67914081 is an apocalyptic number.

67914081 is the 8241-st square number.

67914081 is the 4121-st centered octagonal number.

It is an amenable number.

67914081 is a deficient number, since it is larger than the sum of its proper divisors (34158162).

67914081 is an equidigital number, since it uses as much as digits as its factorization.

67914081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 67914081 is about 407.9935300300.

Multiplying 67914081 by its sum of digits (36), we get a square (2444906916 = 49446²).

The spelling of 67914081 in words is "sixty-seven million, nine hundred fourteen thousand, eighty-one".