85322169 has 9 divisors (see below), whose sum is σ = 123283173. Its totient is φ = 56862972.

The previous prime is 85322161. The next prime is 85322173. The reversal of 85322169 is 96122358.

The square root of 85322169 is 9237.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 85322169 - 2³ = 85322161 is a prime.

It is a super-2 number, since 2×85322169² = 14559745045729122, which contains 22 as substring.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (85322161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26172 + ... + 29250.

Almost surely, 2^85322169 is an apocalyptic number.

85322169 is the 9237-th square number.

85322169 is the 4619-th centered octagonal number.

It is an amenable number.

85322169 is a deficient number, since it is larger than the sum of its proper divisors (37961004).

85322169 is an frugal number, since it uses more digits than its factorization.

85322169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 3082 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The cubic root of 85322169 is about 440.2377657775.

Multiplying 85322169 by its sum of digits (36), we get a square (3071598084 = 55422²).

It can be divided in two parts, 85322 and 169, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 85322169 in words is "eighty-five million, three hundred twenty-two thousand, one hundred sixty-nine".