820930653 has 16 divisors (see below), whose sum is σ = 1218288960. Its totient is φ = 546344208.

The previous prime is 820930631. The next prime is 820930709. The reversal of 820930653 is 356039028.

It is not a de Polignac number, because 820930653 - 2⁶ = 820930589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820930553) 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, 10050 + ... + 41747.

It is an arithmetic number, because the mean of its divisors is an integer number (76143060).

Almost surely, 2^820930653 is an apocalyptic number.

It is an amenable number.

820930653 is a deficient number, since it is larger than the sum of its proper divisors (397358307).

820930653 is a wasteful number, since it uses less digits than its factorization.

820930653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52393 (or 52387 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 820930653 is about 28651.8874247405. The cubic root of 820930653 is about 936.3441268334.

The spelling of 820930653 in words is "eight hundred twenty million, nine hundred thirty thousand, six hundred fifty-three".