85637117 has 2 divisors, whose sum is σ = 85637118. Its totient is φ = 85637116.

The previous prime is 85637089. The next prime is 85637131. The reversal of 85637117 is 71173658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60124516 + 25512601 = 7754^2 + 5051^2 .

It is a cyclic number.

It is not a de Polignac number, because 85637117 - 2⁸ = 85636861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85637137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42818558 + 42818559.

It is an arithmetic number, because the mean of its divisors is an integer number (42818559).

Almost surely, 2^85637117 is an apocalyptic number.

It is an amenable number.

85637117 is a deficient number, since it is larger than the sum of its proper divisors (1).

85637117 is an equidigital number, since it uses as much as digits as its factorization.

85637117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 35280, while the sum is 38.

The square root of 85637117 is about 9254.0324723874. The cubic root of 85637117 is about 440.7787809023.

It can be divided in two parts, 856 and 37117, that added together give a palindrome (37973).

The spelling of 85637117 in words is "eighty-five million, six hundred thirty-seven thousand, one hundred seventeen".