85416417 has 8 divisors (see below), whose sum is σ = 126542880. Its totient is φ = 56944260.

The previous prime is 85416341. The next prime is 85416421. The reversal of 85416417 is 71461458.

It is a happy number.

85416417 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 641 + 7 = 666.

It is not a de Polignac number, because 85416417 - 2¹⁸ = 85154273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85416427) 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, 1581759 + ... + 1581812.

It is an arithmetic number, because the mean of its divisors is an integer number (15817860).

Almost surely, 2^85416417 is an apocalyptic number.

It is an amenable number.

85416417 is a deficient number, since it is larger than the sum of its proper divisors (41126463).

85416417 is a wasteful number, since it uses less digits than its factorization.

85416417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163580 (or 3163574 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 85416417 is about 9242.1002483202. The cubic root of 85416417 is about 440.3998036216.

It can be divided in two parts, 854 and 16417, that added together give a palindrome (17271).

The spelling of 85416417 in words is "eighty-five million, four hundred sixteen thousand, four hundred seventeen".