85213908 has 72 divisors (see below), whose sum is σ = 237682536. Its totient is φ = 25574400.

The previous prime is 85213897. The next prime is 85213943. The reversal of 85213908 is 80931258.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 83503044 = 1308^2 + 9138^2 .

It is a super-2 number, since 2×85213908² = 14522820233264928, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16968 + ... + 21408.

Almost surely, 2^85213908 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 85213908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118841268).

85213908 is an abundant number, since it is smaller than the sum of its proper divisors (152468628).

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

85213908 is a wasteful number, since it uses less digits than its factorization.

85213908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 85213908 is about 9231.1379580201. The cubic root of 85213908 is about 440.0514884650.

The spelling of 85213908 in words is "eighty-five million, two hundred thirteen thousand, nine hundred eight".