85601033 has 16 divisors (see below), whose sum is σ = 99225984. Its totient is φ = 72334080.

The previous prime is 85601029. The next prime is 85601039. The reversal of 85601033 is 33010658.

It is not a de Polignac number, because 85601033 - 2² = 85601029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85600993 and 85601011.

It is not an unprimeable number, because it can be changed into a prime (85601039) 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 15 ways as a sum of consecutive naturals, for example, 253841 + ... + 254177.

It is an arithmetic number, because the mean of its divisors is an integer number (6201624).

Almost surely, 2^85601033 is an apocalyptic number.

It is an amenable number.

85601033 is a deficient number, since it is larger than the sum of its proper divisors (13624951).

85601033 is a wasteful number, since it uses less digits than its factorization.

85601033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 85601033 is about 9252.0826304135. The cubic root of 85601033 is about 440.7168634514.

The spelling of 85601033 in words is "eighty-five million, six hundred one thousand, thirty-three".