85401 has 8 divisors (see below), whose sum is σ = 126560. Its totient is φ = 56916.

The previous prime is 85381. The next prime is 85411. The reversal of 85401 is 10458.

It is not a de Polignac number, because 85401 - 2⁵ = 85369 is a prime.

It is a cake number, because a cake can be divided into 85401 parts by 80 planar cuts.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (85411) 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, 1555 + ... + 1608.

It is an arithmetic number, because the mean of its divisors is an integer number (15820).

2⁸⁵⁴⁰¹ is an apocalyptic number.

It is an amenable number.

85401 is a deficient number, since it is larger than the sum of its proper divisors (41159).

85401 is a wasteful number, since it uses less digits than its factorization.

85401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 85401 is about 292.2344948838. The cubic root of 85401 is about 44.0373305779.

Adding to 85401 its reverse (10458), we get a palindrome (95859).

The spelling of 85401 in words is "eighty-five thousand, four hundred one".