73644101 has 2 divisors, whose sum is σ = 73644102. Its totient is φ = 73644100.

The previous prime is 73644089. The next prime is 73644113. The reversal of 73644101 is 10144637.

It is a balanced prime because it is at equal distance from previous prime (73644089) and next prime (73644113).

It can be written as a sum of positive squares in only one way, i.e., 39363076 + 34281025 = 6274^2 + 5855^2 .

It is a cyclic number.

It is not a de Polignac number, because 73644101 - 2²² = 69449797 is a prime.

It is a super-2 number, since 2×73644101² = 10846907224196402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is a weakly prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36822050 + 36822051.

It is an arithmetic number, because the mean of its divisors is an integer number (36822051).

Almost surely, 2^73644101 is an apocalyptic number.

It is an amenable number.

73644101 is a deficient number, since it is larger than the sum of its proper divisors (1).

73644101 is an equidigital number, since it uses as much as digits as its factorization.

73644101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 73644101 is about 8581.6141255594. The cubic root of 73644101 is about 419.1595077389.

Adding to 73644101 its reverse (10144637), we get a palindrome (83788738).

The spelling of 73644101 in words is "seventy-three million, six hundred forty-four thousand, one hundred one".