83813201 has 2 divisors, whose sum is σ = 83813202. Its totient is φ = 83813200.

The previous prime is 83813159. The next prime is 83813227. The reversal of 83813201 is 10231838.

It is an a-pointer prime, because the next prime (83813227) can be obtained adding 83813201 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65529025 + 18284176 = 8095^2 + 4276^2 .

It is a cyclic number.

It is not a de Polignac number, because 83813201 - 2¹⁰ = 83812177 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83813231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41906600 + 41906601.

It is an arithmetic number, because the mean of its divisors is an integer number (41906601).

Almost surely, 2^83813201 is an apocalyptic number.

It is an amenable number.

83813201 is a deficient number, since it is larger than the sum of its proper divisors (1).

83813201 is an equidigital number, since it uses as much as digits as its factorization.

83813201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 83813201 is about 9154.9549971586. The cubic root of 83813201 is about 437.6270342395.

The spelling of 83813201 in words is "eighty-three million, eight hundred thirteen thousand, two hundred one".