85301433 has 48 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 46904832.

The previous prime is 85301423. The next prime is 85301471. The reversal of 85301433 is 33410358.

It is a happy number.

It is not a de Polignac number, because 85301433 - 2⁴ = 85301417 is a prime.

It is a super-3 number, since 3×85301433³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85301397 and 85301406.

It is not an unprimeable number, because it can be changed into a prime (85301423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196785 + ... + 197217.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^85301433 is an apocalyptic number.

It is an amenable number.

85301433 is a deficient number, since it is larger than the sum of its proper divisors (60939207).

85301433 is a wasteful number, since it uses less digits than its factorization.

85301433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 85301433 is about 9235.8774894430. The cubic root of 85301433 is about 440.2020989629.

The spelling of 85301433 in words is "eighty-five million, three hundred one thousand, four hundred thirty-three".