85177152 has 168 divisors, whose sum is σ = 264424160. Its totient is φ = 26127360.

The previous prime is 85177139. The next prime is 85177163. The reversal of 85177152 is 25177158.

It is a super-3 number, since 3×85177152³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 470502 + ... + 470682.

Almost surely, 2^85177152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85177152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132212080).

85177152 is an abundant number, since it is smaller than the sum of its proper divisors (179247008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85177152 is a wasteful number, since it uses less digits than its factorization.

85177152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The square root of 85177152 is about 9229.1468728155. The cubic root of 85177152 is about 439.9882090504.

The spelling of 85177152 in words is "eighty-five million, one hundred seventy-seven thousand, one hundred fifty-two".