85533030 has 128 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 20044800.

The previous prime is 85533029. The next prime is 85533031. The reversal of 85533030 is 3033558.

It is an interprime number because it is at equal distance from previous prime (85533029) and next prime (85533031).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85532985 and 85533003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85533031) 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 63 ways as a sum of consecutive naturals, for example, 91606 + ... + 92534.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2^85533030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85533030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

85533030 is an abundant number, since it is smaller than the sum of its proper divisors (171593370).

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

85533030 is a wasteful number, since it uses less digits than its factorization.

85533030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 85533030 is about 9248.4068898378. The cubic root of 85533030 is about 440.6001280664.

Adding to 85533030 its reverse (3033558), we get a palindrome (88566588).

The spelling of 85533030 in words is "eighty-five million, five hundred thirty-three thousand, thirty".