85200417 has 28 divisors (see below), whose sum is σ = 129572964. Its totient is φ = 55987200.

The previous prime is 85200403. The next prime is 85200439. The reversal of 85200417 is 71400258.

It can be written as a sum of positive squares in 2 ways, for example, as 73256481 + 11943936 = 8559^2 + 3456^2 .

It is not a de Polignac number, because 85200417 - 2²² = 81006113 is a prime.

It is a super-2 number, since 2×85200417² = 14518222113947778, which contains 22 as substring.

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 (85200317) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 52417 + ... + 54017.

Almost surely, 2^85200417 is an apocalyptic number.

It is an amenable number.

85200417 is a deficient number, since it is larger than the sum of its proper divisors (44372547).

85200417 is an equidigital number, since it uses as much as digits as its factorization.

85200417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 85200417 is about 9230.4071957850. The cubic root of 85200417 is about 440.0282643689.

The spelling of 85200417 in words is "eighty-five million, two hundred thousand, four hundred seventeen".