820151 has 4 divisors (see below), whose sum is σ = 823992. Its totient is φ = 816312.

The previous prime is 820133. The next prime is 820163. The reversal of 820151 is 151028.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 820151 - 2¹⁸ = 558007 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1580 + ... + 2033.

It is an arithmetic number, because the mean of its divisors is an integer number (205998).

2⁸²⁰¹⁵¹ is an apocalyptic number.

820151 is a deficient number, since it is larger than the sum of its proper divisors (3841).

820151 is a wasteful number, since it uses less digits than its factorization.

820151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 820151 is about 905.6218857779. The cubic root of 820151 is about 93.6047611843.

Adding to 820151 its reverse (151028), we get a palindrome (971179).

The spelling of 820151 in words is "eight hundred twenty thousand, one hundred fifty-one".