83764801 has 2 divisors, whose sum is σ = 83764802. Its totient is φ = 83764800.

The previous prime is 83764783. The next prime is 83764819. The reversal of 83764801 is 10846738.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (83764783) and next prime (83764819).

It can be written as a sum of positive squares in only one way, i.e., 79566400 + 4198401 = 8920^2 + 2049^2 .

It is a cyclic number.

It is not a de Polignac number, because 83764801 - 2¹⁷ = 83633729 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83764861) 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 as a sum of consecutive naturals, namely, 41882400 + 41882401.

It is an arithmetic number, because the mean of its divisors is an integer number (41882401).

Almost surely, 2^83764801 is an apocalyptic number.

It is an amenable number.

83764801 is a deficient number, since it is larger than the sum of its proper divisors (1).

83764801 is an equidigital number, since it uses as much as digits as its factorization.

83764801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 83764801 is about 9152.3112381518. The cubic root of 83764801 is about 437.5427785109.

The spelling of 83764801 in words is "eighty-three million, seven hundred sixty-four thousand, eight hundred one".