85987938169 has 27 divisors (see below), whose sum is σ = 101037346767. Its totient is φ = 72966749184.

The previous prime is 85987938163. The next prime is 85987938233. The reversal of 85987938169 is 96183978958.

The square root of 85987938169 is 293237.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 84654812025 + 1333126144 = 290955^2 + 36512^2 .

It is not a de Polignac number, because 85987938169 - 2⁷ = 85987938041 is a prime.

It is a super-2 number, since 2×85987938169² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85987938163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 334583289 + ... + 334583545.

Almost surely, 2^85987938169 is an apocalyptic number.

85987938169 is the 293237-th square number.

85987938169 is the 146619-th centered octagonal number.

It is an amenable number.

85987938169 is a deficient number, since it is larger than the sum of its proper divisors (15049408598).

85987938169 is an frugal number, since it uses more digits than its factorization.

85987938169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 73.

The spelling of 85987938169 in words is "eighty-five billion, nine hundred eighty-seven million, nine hundred thirty-eight thousand, one hundred sixty-nine".