85184001 has 72 divisors (see below), whose sum is σ = 153954720. Its totient is φ = 46403280.

The previous prime is 85183981. The next prime is 85184017. The reversal of 85184001 is 10048158.

It is a Cunningham number, because it is equal to 440³+1.

It is not a de Polignac number, because 85184001 - 2⁷ = 85183873 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (85183001) 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 71 ways as a sum of consecutive naturals, for example, 1271370 + ... + 1271436.

It is an arithmetic number, because the mean of its divisors is an integer number (2138260).

Almost surely, 2^85184001 is an apocalyptic number.

It is an amenable number.

85184001 is a deficient number, since it is larger than the sum of its proper divisors (68770719).

85184001 is a wasteful number, since it uses less digits than its factorization.

85184001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85184001 is about 9229.5179180713. The cubic root of 85184001 is about 440.0000017218. Note that the first 5 decimals are identical.

The spelling of 85184001 in words is "eighty-five million, one hundred eighty-four thousand, one".