73624097 has 2 divisors, whose sum is σ = 73624098. Its totient is φ = 73624096.

The previous prime is 73624063. The next prime is 73624099. The reversal of 73624097 is 79042637.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68823616 + 4800481 = 8296^2 + 2191^2 .

It is an emirp because it is prime and its reverse (79042637) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73624097 - 2¹⁶ = 73558561 is a prime.

Together with 73624099, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73624097.

It is not a weakly prime, because it can be changed into another prime (73624099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36812048 + 36812049.

It is an arithmetic number, because the mean of its divisors is an integer number (36812049).

Almost surely, 2^73624097 is an apocalyptic number.

It is an amenable number.

73624097 is a deficient number, since it is larger than the sum of its proper divisors (1).

73624097 is an equidigital number, since it uses as much as digits as its factorization.

73624097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 73624097 is about 8580.4485313997. The cubic root of 73624097 is about 419.1215521028.

The spelling of 73624097 in words is "seventy-three million, six hundred twenty-four thousand, ninety-seven".