85807007 has 32 divisors (see below), whose sum is σ = 109154304. Its totient is φ = 66240000.

The previous prime is 85806989. The next prime is 85807031. The reversal of 85807007 is 70070858.

It is a cyclic number.

It is not a de Polignac number, because 85807007 - 2⁶ = 85806943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85807067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113882 + ... + 114632.

It is an arithmetic number, because the mean of its divisors is an integer number (3411072).

Almost surely, 2^85807007 is an apocalyptic number.

85807007 is a deficient number, since it is larger than the sum of its proper divisors (23347297).

85807007 is a wasteful number, since it uses less digits than its factorization.

85807007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839.

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 85807007 is about 9263.2071659874. The cubic root of 85807007 is about 441.0700659786.

The spelling of 85807007 in words is "eighty-five million, eight hundred seven thousand, seven".