820332 has 18 divisors (see below), whose sum is σ = 2073708. Its totient is φ = 273432.

The previous prime is 820331. The next prime is 820333. The reversal of 820332 is 233028.

It is an interprime number because it is at equal distance from previous prime (820331) and next prime (820333).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (820331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11358 + ... + 11429.

It is an arithmetic number, because the mean of its divisors is an integer number (115206).

2⁸²⁰³³² is an apocalyptic number.

It is an amenable number.

820332 is an abundant number, since it is smaller than the sum of its proper divisors (1253376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820332 is a wasteful number, since it uses less digits than its factorization.

820332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22797 (or 22792 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 820332 is about 905.7218115956. The cubic root of 820332 is about 93.6116465893.

The spelling of 820332 in words is "eight hundred twenty thousand, three hundred thirty-two".