85297152 has 48 divisors (see below), whose sum is σ = 227419920. Its totient is φ = 28430336.

The previous prime is 85297141. The next prime is 85297181. The reversal of 85297152 is 25179258.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×85297152² = 14551208278622208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85297152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 798 + ... + 13085.

It is an arithmetic number, because the mean of its divisors is an integer number (4737915).

Almost surely, 2^85297152 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 85297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113709960).

85297152 is an abundant number, since it is smaller than the sum of its proper divisors (142122768).

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

85297152 is a wasteful number, since it uses less digits than its factorization.

85297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13908 (or 13888 counting only the distinct ones).

The product of its digits is 50400, while the sum is 39.

The square root of 85297152 is about 9235.6457272895. The cubic root of 85297152 is about 440.1947347384.

The spelling of 85297152 in words is "eighty-five million, two hundred ninety-seven thousand, one hundred fifty-two".