67916801 has 2 divisors, whose sum is σ = 67916802. Its totient is φ = 67916800.

The previous prime is 67916767. The next prime is 67916809. The reversal of 67916801 is 10861976.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59367025 + 8549776 = 7705^2 + 2924^2 .

It is a cyclic number.

It is not a de Polignac number, because 67916801 - 2¹⁰ = 67915777 is a prime.

It is a super-2 number, since 2×67916801² = 9225383716147202, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (67916809) 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 as a sum of consecutive naturals, namely, 33958400 + 33958401.

It is an arithmetic number, because the mean of its divisors is an integer number (33958401).

Almost surely, 2^67916801 is an apocalyptic number.

It is an amenable number.

67916801 is a deficient number, since it is larger than the sum of its proper divisors (1).

67916801 is an equidigital number, since it uses as much as digits as its factorization.

67916801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 67916801 is about 8241.1650268636. The cubic root of 67916801 is about 407.9989767532.

The spelling of 67916801 in words is "sixty-seven million, nine hundred sixteen thousand, eight hundred one".