85972157 has 2 divisors, whose sum is σ = 85972158. Its totient is φ = 85972156.

The previous prime is 85972151. The next prime is 85972181. The reversal of 85972157 is 75127958.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77334436 + 8637721 = 8794^2 + 2939^2 .

It is a cyclic number.

It is not a de Polignac number, because 85972157 - 2⁴ = 85972141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85972151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42986078 + 42986079.

It is an arithmetic number, because the mean of its divisors is an integer number (42986079).

Almost surely, 2^85972157 is an apocalyptic number.

It is an amenable number.

85972157 is a deficient number, since it is larger than the sum of its proper divisors (1).

85972157 is an equidigital number, since it uses as much as digits as its factorization.

85972157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 176400, while the sum is 44.

The square root of 85972157 is about 9272.1171800188. The cubic root of 85972157 is about 441.3528557769.

The spelling of 85972157 in words is "eighty-five million, nine hundred seventy-two thousand, one hundred fifty-seven".