73006821 has 12 divisors (see below), whose sum is σ = 105992172. Its totient is φ = 48422976.

The previous prime is 73006799. The next prime is 73006847. The reversal of 73006821 is 12860037.

It can be written as a sum of positive squares in 2 ways, for example, as 50253921 + 22752900 = 7089^2 + 4770^2 .

It is not a de Polignac number, because 73006821 - 2¹⁹ = 72482533 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73006861) 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 11 ways as a sum of consecutive naturals, for example, 18816 + ... + 22361.

It is an arithmetic number, because the mean of its divisors is an integer number (8832681).

Almost surely, 2^73006821 is an apocalyptic number.

It is an amenable number.

73006821 is a deficient number, since it is larger than the sum of its proper divisors (32985351).

73006821 is a wasteful number, since it uses less digits than its factorization.

73006821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41380 (or 41377 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 73006821 is about 8544.4029048261. The cubic root of 73006821 is about 417.9469362522.

Adding to 73006821 its reverse (12860037), we get a palindrome (85866858).

The spelling of 73006821 in words is "seventy-three million, six thousand, eight hundred twenty-one".