85381617 has 8 divisors (see below), whose sum is σ = 116489824. Its totient is φ = 55597248.

The previous prime is 85381609. The next prime is 85381643. The reversal of 85381617 is 71618358.

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

It is not a de Polignac number, because 85381617 - 2³ = 85381609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85381697) 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, 330808 + ... + 331065.

It is an arithmetic number, because the mean of its divisors is an integer number (14561228).

Almost surely, 2^85381617 is an apocalyptic number.

It is an amenable number.

85381617 is a deficient number, since it is larger than the sum of its proper divisors (31108207).

85381617 is a wasteful number, since it uses less digits than its factorization.

85381617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661919.

The product of its digits is 40320, while the sum is 39.

The square root of 85381617 is about 9240.2173675731. The cubic root of 85381617 is about 440.3399868810.

The spelling of 85381617 in words is "eighty-five million, three hundred eighty-one thousand, six hundred seventeen".