820952 has 32 divisors (see below), whose sum is σ = 1771200. Its totient is φ = 352800.

The previous prime is 820927. The next prime is 820957. The reversal of 820952 is 259028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820957) by changing a digit.

820952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1427 + ... + 1917.

It is an arithmetic number, because the mean of its divisors is an integer number (55350).

2⁸²⁰⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885600).

820952 is an abundant number, since it is smaller than the sum of its proper divisors (950248).

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

820952 is a wasteful number, since it uses less digits than its factorization.

820952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 820952 is about 906.0640153985. The cubic root of 820952 is about 93.6352242811.

The spelling of 820952 in words is "eight hundred twenty thousand, nine hundred fifty-two".