83724101 has 2 divisors, whose sum is σ = 83724102. Its totient is φ = 83724100.

The previous prime is 83724079. The next prime is 83724103. The reversal of 83724101 is 10142738.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77968900 + 5755201 = 8830^2 + 2399^2 .

It is a cyclic number.

It is not a de Polignac number, because 83724101 - 2⁶ = 83724037 is a prime.

Together with 83724103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83724103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41862050 + 41862051.

It is an arithmetic number, because the mean of its divisors is an integer number (41862051).

Almost surely, 2^83724101 is an apocalyptic number.

It is an amenable number.

83724101 is a deficient number, since it is larger than the sum of its proper divisors (1).

83724101 is an equidigital number, since it uses as much as digits as its factorization.

83724101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 83724101 is about 9150.0874859206. The cubic root of 83724101 is about 437.4719019778.

Adding to 83724101 its reverse (10142738), we get a palindrome (93866839).

The spelling of 83724101 in words is "eighty-three million, seven hundred twenty-four thousand, one hundred one".