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BaseRepresentation
bin1100100001
31002200
430201
511201
63413
72223
oct1441
91080
10801
11669
12569
13498
14413
15386
hex321

801 has 6 divisors (see below), whose sum is σ = 1170. Its totient is φ = 528.

The previous prime is 797. The next prime is 809. The reversal of 801 is 108.

801 is nontrivially palindromic in base 8.

801 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 576 + 225 = 24^2 + 15^2 .

It is not a de Polignac number, because 801 - 22 = 797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 89 = 801 / (8 + 0 + 1).

801 is a lucky number.

It is a plaindrome in base 7, base 11 and base 12.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36 + ... + 53.

It is an arithmetic number, because the mean of its divisors is an integer number (195).

It is a Proth number, since it is equal to 25 ⋅ 25 + 1 and 25 < 25.

It is an amenable number.

801 is a deficient number, since it is larger than the sum of its proper divisors (369).

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

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

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 801 is about 28.3019433962. The cubic root of 801 is about 9.2870440474.

Adding to 801 its reverse (108), we get a palindrome (909).

It can be divided in two parts, 80 and 1, that added together give a 4-th power (81 = 34).

The spelling of 801 in words is "eight hundred one", and thus it is an aban number.

Divisors: 1 3 9 89 267 801