85735697 has 8 divisors (see below), whose sum is σ = 91882176. Its totient is φ = 79790832.

The previous prime is 85735693. The next prime is 85735703. The reversal of 85735697 is 79653758.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85735697 - 2² = 85735693 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85735693) 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 7 ways as a sum of consecutive naturals, for example, 49523 + ... + 51224.

It is an arithmetic number, because the mean of its divisors is an integer number (11485272).

Almost surely, 2^85735697 is an apocalyptic number.

It is an amenable number.

85735697 is a deficient number, since it is larger than the sum of its proper divisors (6146479).

85735697 is a wasteful number, since it uses less digits than its factorization.

85735697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100807.

The product of its digits is 1587600, while the sum is 50.

The square root of 85735697 is about 9259.3572671109. The cubic root of 85735697 is about 440.9478482077.

The spelling of 85735697 in words is "eighty-five million, seven hundred thirty-five thousand, six hundred ninety-seven".