85352382 has 24 divisors (see below), whose sum is σ = 186391296. Its totient is φ = 28226016.

The previous prime is 85352381. The next prime is 85352383. The reversal of 85352382 is 28325358.

85352382 is a `hidden beast` number, since 8 + 53 + 523 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (85352381) and next prime (85352383).

It is a super-2 number, since 2×85352382² = 14570058226147848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85352381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16383 + ... + 20954.

It is an arithmetic number, because the mean of its divisors is an integer number (7766304).

Almost surely, 2^85352382 is an apocalyptic number.

85352382 is an abundant number, since it is smaller than the sum of its proper divisors (101038914).

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

85352382 is a wasteful number, since it uses less digits than its factorization.

85352382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37472 (or 37469 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85352382 is about 9238.6352888292. The cubic root of 85352382 is about 440.2897230984.

It can be divided in two parts, 853 and 52382, that added together give a palindrome (53235).

The spelling of 85352382 in words is "eighty-five million, three hundred fifty-two thousand, three hundred eighty-two".