85956567 has 8 divisors (see below), whose sum is σ = 115484160. Its totient is φ = 56866680.

The previous prime is 85956557. The next prime is 85956571. The reversal of 85956567 is 76565958.

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

It is not a de Polignac number, because 85956567 - 2¹⁸ = 85694423 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85956557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108967 + ... + 109752.

It is an arithmetic number, because the mean of its divisors is an integer number (14435520).

Almost surely, 2^85956567 is an apocalyptic number.

85956567 is a deficient number, since it is larger than the sum of its proper divisors (29527593).

85956567 is a wasteful number, since it uses less digits than its factorization.

85956567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218853.

The product of its digits is 2268000, while the sum is 51.

The square root of 85956567 is about 9271.2764493353. The cubic root of 85956567 is about 441.3261761820.

The spelling of 85956567 in words is "eighty-five million, nine hundred fifty-six thousand, five hundred sixty-seven".