85420 has 12 divisors (see below), whose sum is σ = 179424. Its totient is φ = 34160.

The previous prime is 85411. The next prime is 85427. The reversal of 85420 is 2458.

It is a happy number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (85427) by changing a digit.

85420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2116 + ... + 2155.

It is an arithmetic number, because the mean of its divisors is an integer number (14952).

2⁸⁵⁴²⁰ is an apocalyptic number.

It is an amenable number.

85420 is an abundant number, since it is smaller than the sum of its proper divisors (94004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89712).

85420 is a wasteful number, since it uses less digits than its factorization.

85420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 85420 is about 292.2670012164. The cubic root of 85420 is about 44.0405961417.

Adding to 85420 its reverse (2458), we get a palindrome (87878).

It can be divided in two parts, 85 and 420, that added together give a palindrome (505).

The spelling of 85420 in words is "eighty-five thousand, four hundred twenty".