820701 has 18 divisors (see below), whose sum is σ = 1379742. Its totient is φ = 468720.

The previous prime is 820691. The next prime is 820711. The reversal of 820701 is 107028.

It is an interprime number because it is at equal distance from previous prime (820691) and next prime (820711).

It can be written as a sum of positive squares in only one way, i.e., 423801 + 396900 = 651^2 + 630^2 .

It is not a de Polignac number, because 820701 - 2⁶ = 820637 is a prime.

It is a Curzon number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820711) 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 17 ways as a sum of consecutive naturals, for example, 490 + ... + 1371.

2⁸²⁰⁷⁰¹ is an apocalyptic number.

It is an amenable number.

820701 is a deficient number, since it is larger than the sum of its proper divisors (559041).

820701 is a wasteful number, since it uses less digits than its factorization.

820701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 820701 is about 905.9254936252. The cubic root of 820701 is about 93.6256805494.

Adding to 820701 its reverse (107028), we get a palindrome (927729).

It can be divided in two parts, 820 and 701, that added together give a square (1521 = 39²).

The spelling of 820701 in words is "eight hundred twenty thousand, seven hundred one".