85772101 has 2 divisors, whose sum is σ = 85772102. Its totient is φ = 85772100.

The previous prime is 85772087. The next prime is 85772107. The reversal of 85772101 is 10127758.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67667076 + 18105025 = 8226^2 + 4255^2 .

It is a cyclic number.

It is not a de Polignac number, because 85772101 - 2⁵ = 85772069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85772107) 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, 42886050 + 42886051.

It is an arithmetic number, because the mean of its divisors is an integer number (42886051).

Almost surely, 2^85772101 is an apocalyptic number.

It is an amenable number.

85772101 is a deficient number, since it is larger than the sum of its proper divisors (1).

85772101 is an equidigital number, since it uses as much as digits as its factorization.

85772101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 85772101 is about 9261.3228536748. The cubic root of 85772101 is about 441.0102492635.

Adding to 85772101 its reverse (10127758), we get a palindrome (95899859).

The spelling of 85772101 in words is "eighty-five million, seven hundred seventy-two thousand, one hundred one".