83825101 has 2 divisors, whose sum is σ = 83825102. Its totient is φ = 83825100.

The previous prime is 83825089. The next prime is 83825123. The reversal of 83825101 is 10152838.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52577001 + 31248100 = 7251^2 + 5590^2 .

It is a cyclic number.

It is not a de Polignac number, because 83825101 - 2⁵ = 83825069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83825101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83825801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41912550 + 41912551.

It is an arithmetic number, because the mean of its divisors is an integer number (41912551).

Almost surely, 2^83825101 is an apocalyptic number.

It is an amenable number.

83825101 is a deficient number, since it is larger than the sum of its proper divisors (1).

83825101 is an equidigital number, since it uses as much as digits as its factorization.

83825101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 83825101 is about 9155.6048953633. The cubic root of 83825101 is about 437.6477450392.

Adding to 83825101 its reverse (10152838), we get a palindrome (93977939).

The spelling of 83825101 in words is "eighty-three million, eight hundred twenty-five thousand, one hundred one".