85506627 has 8 divisors (see below), whose sum is σ = 114088464. Its totient is φ = 56964608.

The previous prime is 85506613. The next prime is 85506637. The reversal of 85506627 is 72660558.

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 85506627 - 2⁶ = 85506563 is a prime.

It is a super-2 number, since 2×85506627² = 14622766521834258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85506637) 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, 4518 + ... + 13835.

It is an arithmetic number, because the mean of its divisors is an integer number (14261058).

Almost surely, 2^85506627 is an apocalyptic number.

85506627 is a deficient number, since it is larger than the sum of its proper divisors (28581837).

85506627 is a wasteful number, since it uses less digits than its factorization.

85506627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19909.

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 85506627 is about 9246.9793446293. The cubic root of 85506627 is about 440.5547874442.

The spelling of 85506627 in words is "eighty-five million, five hundred six thousand, six hundred twenty-seven".