85297212 has 240 divisors, whose sum is σ = 300529152. Its totient is φ = 20373120.

The previous prime is 85297189. The next prime is 85297217. The reversal of 85297212 is 21279258.

It is a super-2 number, since 2×85297212² = 14551228749945888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85297217) 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 79 ways as a sum of consecutive naturals, for example, 324193 + ... + 324455.

Almost surely, 2^85297212 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 85297212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150264576).

85297212 is an abundant number, since it is smaller than the sum of its proper divisors (215231940).

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

85297212 is a wasteful number, since it uses less digits than its factorization.

85297212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 85297212 is about 9235.6489755729. The cubic root of 85297212 is about 440.1948379528.

The spelling of 85297212 in words is "eighty-five million, two hundred ninety-seven thousand, two hundred twelve".