85508214 has 64 divisors (see below), whose sum is σ = 193059072. Its totient is φ = 25027200.

The previous prime is 85508207. The next prime is 85508237. The reversal of 85508214 is 41280558.

It is a super-2 number, since 2×85508214² = 14623309322939592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 269584 + ... + 269900.

It is an arithmetic number, because the mean of its divisors is an integer number (3016548).

Almost surely, 2^85508214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85508214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96529536).

85508214 is an abundant number, since it is smaller than the sum of its proper divisors (107550858).

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

85508214 is a wasteful number, since it uses less digits than its factorization.

85508214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 85508214 is about 9247.0651560373. The cubic root of 85508214 is about 440.5575129879.

The spelling of 85508214 in words is "eighty-five million, five hundred eight thousand, two hundred fourteen".