820617 has 16 divisors (see below), whose sum is σ = 1305600. Its totient is φ = 448272.

The previous prime is 820609. The next prime is 820619. The reversal of 820617 is 716028.

It is not a de Polignac number, because 820617 - 2³ = 820609 is a prime.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (820619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367 + ... + 1332.

It is an arithmetic number, because the mean of its divisors is an integer number (81600).

2⁸²⁰⁶¹⁷ is an apocalyptic number.

It is an amenable number.

820617 is a deficient number, since it is larger than the sum of its proper divisors (484983).

820617 is a wasteful number, since it uses less digits than its factorization.

820617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 820617 is about 905.8791310103. The cubic root of 820617 is about 93.6224861966.

The spelling of 820617 in words is "eight hundred twenty thousand, six hundred seventeen".