85820169 has 24 divisors (see below), whose sum is σ = 122041920. Its totient is φ = 53631072.

The previous prime is 85820101. The next prime is 85820171. The reversal of 85820169 is 96102858.

It is not a de Polignac number, because 85820169 - 2⁸ = 85819913 is a prime.

It is a super-2 number, since 2×85820169² = 14730202814377122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85820179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117684 + ... + 118410.

It is an arithmetic number, because the mean of its divisors is an integer number (5085080).

Almost surely, 2^85820169 is an apocalyptic number.

It is an amenable number.

85820169 is a deficient number, since it is larger than the sum of its proper divisors (36221751).

85820169 is a wasteful number, since it uses less digits than its factorization.

85820169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 85820169 is about 9263.9175838303. The cubic root of 85820169 is about 441.0926168463.

The spelling of 85820169 in words is "eighty-five million, eight hundred twenty thousand, one hundred sixty-nine".