85707633 has 16 divisors (see below), whose sum is σ = 125320896. Its totient is φ = 51671040.

The previous prime is 85707619. The next prime is 85707647. The reversal of 85707633 is 33670758.

It is an interprime number because it is at equal distance from previous prime (85707619) and next prime (85707647).

It is not a de Polignac number, because 85707633 - 2⁶ = 85707569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85707591 and 85707600.

It is not an unprimeable number, because it can be changed into a prime (85707533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360 + ... + 13097.

It is an arithmetic number, because the mean of its divisors is an integer number (7832556).

Almost surely, 2^85707633 is an apocalyptic number.

It is an amenable number.

85707633 is a deficient number, since it is larger than the sum of its proper divisors (39613263).

85707633 is a wasteful number, since it uses less digits than its factorization.

85707633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13664.

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 85707633 is about 9257.8417031185. The cubic root of 85707633 is about 440.8997309072.

The spelling of 85707633 in words is "eighty-five million, seven hundred seven thousand, six hundred thirty-three".