83642101 has 2 divisors, whose sum is σ = 83642102. Its totient is φ = 83642100.

The previous prime is 83642087. The next prime is 83642129. The reversal of 83642101 is 10124638.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43573201 + 40068900 = 6601^2 + 6330^2 .

It is a cyclic number.

It is not a de Polignac number, because 83642101 - 2⁷ = 83641973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83643101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41821050 + 41821051.

It is an arithmetic number, because the mean of its divisors is an integer number (41821051).

Almost surely, 2^83642101 is an apocalyptic number.

It is an amenable number.

83642101 is a deficient number, since it is larger than the sum of its proper divisors (1).

83642101 is an equidigital number, since it uses as much as digits as its factorization.

83642101 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 25.

The square root of 83642101 is about 9145.6055567688. The cubic root of 83642101 is about 437.3290342601.

Adding to 83642101 its reverse (10124638), we get a palindrome (93766739).

The spelling of 83642101 in words is "eighty-three million, six hundred forty-two thousand, one hundred one".