85233258 has 48 divisors (see below), whose sum is σ = 204048000. Its totient is φ = 25496640.

The previous prime is 85233251. The next prime is 85233277.

85233258 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (85233251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12918 + ... + 18366.

It is an arithmetic number, because the mean of its divisors is an integer number (4251000).

Almost surely, 2^85233258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85233258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102024000).

85233258 is an abundant number, since it is smaller than the sum of its proper divisors (118814742).

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

85233258 is a wasteful number, since it uses less digits than its factorization.

85233258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5544 counting only the distinct ones).

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

The square root of 85233258 is about 9232.1859816622. The cubic root of 85233258 is about 440.0847942639.

It can be divided in two parts, 85233 and 258, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 85233258 in words is "eighty-five million, two hundred thirty-three thousand, two hundred fifty-eight".