85734101 has 2 divisors, whose sum is σ = 85734102. Its totient is φ = 85734100.

The previous prime is 85734091. The next prime is 85734113. The reversal of 85734101 is 10143758.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54037201 + 31696900 = 7351^2 + 5630^2 .

It is a cyclic number.

It is not a de Polignac number, because 85734101 - 2²⁶ = 18625237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85734191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42867050 + 42867051.

It is an arithmetic number, because the mean of its divisors is an integer number (42867051).

Almost surely, 2^85734101 is an apocalyptic number.

It is an amenable number.

85734101 is a deficient number, since it is larger than the sum of its proper divisors (1).

85734101 is an equidigital number, since it uses as much as digits as its factorization.

85734101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 85734101 is about 9259.2710836221. The cubic root of 85734101 is about 440.9451120579.

Adding to 85734101 its reverse (10143758), we get a palindrome (95877859).

The spelling of 85734101 in words is "eighty-five million, seven hundred thirty-four thousand, one hundred one".