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828001 = 1943579
BaseRepresentation
bin11001010001001100001
31120001210201
43022021201
5202444001
625425201
710015666
oct3121141
91501721
10828001
115160a9
1233b201
1322cb55
14177a6d
15115501
hexca261

828001 has 4 divisors (see below), whose sum is σ = 871600. Its totient is φ = 784404.

The previous prime is 827989. The next prime is 828007. The reversal of 828001 is 100828.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 828001 - 25 = 827969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 43579 = 828001 / (8 + 2 + 8 + 0 + 0 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 828001.

It is not an unprimeable number, because it can be changed into a prime (828007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21771 + ... + 21808.

It is an arithmetic number, because the mean of its divisors is an integer number (217900).

2828001 is an apocalyptic number.

828001 is the 576-th centered pentagonal number.

It is an amenable number.

828001 is a deficient number, since it is larger than the sum of its proper divisors (43599).

828001 is a wasteful number, since it uses less digits than its factorization.

828001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43598.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 828001 is about 909.9456027697. The cubic root of 828001 is about 93.9024565329.

Adding to 828001 its reverse (100828), we get a palindrome (928829).

The spelling of 828001 in words is "eight hundred twenty-eight thousand, one".

Divisors: 1 19 43579 828001