83643101 has 2 divisors, whose sum is σ = 83643102. Its totient is φ = 83643100.

The previous prime is 83643097. The next prime is 83643103. The reversal of 83643101 is 10134638.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45832900 + 37810201 = 6770^2 + 6149^2 .

It is a cyclic number.

It is not a de Polignac number, because 83643101 - 2² = 83643097 is a prime.

Together with 83643103, 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 (83643103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41821550 + 41821551.

It is an arithmetic number, because the mean of its divisors is an integer number (41821551).

Almost surely, 2^83643101 is an apocalyptic number.

It is an amenable number.

83643101 is a deficient number, since it is larger than the sum of its proper divisors (1).

83643101 is an equidigital number, since it uses as much as digits as its factorization.

83643101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 83643101 is about 9145.6602276708. The cubic root of 83643101 is about 437.3307771117.

Adding to 83643101 its reverse (10134638), we get a palindrome (93777739).

The spelling of 83643101 in words is "eighty-three million, six hundred forty-three thousand, one hundred one".