820953 has 24 divisors (see below), whose sum is σ = 1380288. Its totient is φ = 460512.

The previous prime is 820927. The next prime is 820957. The reversal of 820953 is 359028.

820953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820953 - 2⁵ = 820921 is a prime.

It is a Curzon number.

820953 is a lucky number.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5151 + ... + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (57512).

2⁸²⁰⁹⁵³ is an apocalyptic number.

820953 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

820953 is a deficient number, since it is larger than the sum of its proper divisors (559335).

820953 is a wasteful number, since it uses less digits than its factorization.

820953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 820953 is about 906.0645672357. The cubic root of 820953 is about 93.6352623001.

The spelling of 820953 in words is "eight hundred twenty thousand, nine hundred fifty-three".