85346627 has 8 divisors (see below), whose sum is σ = 89594880. Its totient is φ = 81191880.

The previous prime is 85346621. The next prime is 85346633. The reversal of 85346627 is 72664358.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85346621) and next prime (85346633).

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 85346627 - 2¹⁴ = 85330243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85346621) 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, 21503 + ... + 25160.

It is an arithmetic number, because the mean of its divisors is an integer number (11199360).

Almost surely, 2^85346627 is an apocalyptic number.

85346627 is a deficient number, since it is larger than the sum of its proper divisors (4248253).

85346627 is a wasteful number, since it uses less digits than its factorization.

85346627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46753.

The product of its digits is 241920, while the sum is 41.

The square root of 85346627 is about 9238.3238198279. The cubic root of 85346627 is about 440.2798271656.

The spelling of 85346627 in words is "eighty-five million, three hundred forty-six thousand, six hundred twenty-seven".