320827 has 16 divisors (see below), whose sum is σ = 383040. Its totient is φ = 266112.

The previous prime is 320821. The next prime is 320833. The reversal of 320827 is 728023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320821) and next prime (320833).

It is a cyclic number.

It is not a de Polignac number, because 320827 - 2⁷ = 320699 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320798 and 320807.

It is not an unprimeable number, because it can be changed into a prime (320821) 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 15 ways as a sum of consecutive naturals, for example, 8653 + ... + 8689.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2³²⁰⁸²⁷ is an apocalyptic number.

320827 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

320827 is a deficient number, since it is larger than the sum of its proper divisors (62213).

320827 is a wasteful number, since it uses less digits than its factorization.

320827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 320827 is about 566.4159249174. The cubic root of 320827 is about 68.4579101013.

It can be divided in two parts, 3 and 20827, that multiplied together give a triangular number (62481 = T₃₅₃).

The spelling of 320827 in words is "three hundred twenty thousand, eight hundred twenty-seven".