820577943 has 6 divisors (see below), whose sum is σ = 1185279264. Its totient is φ = 547051956.

The previous prime is 820577921. The next prime is 820577957. The reversal of 820577943 is 349775028.

It is not a de Polignac number, because 820577943 - 2¹³ = 820569751 is a prime.

It is a super-2 number, since 2×820577943² = 1346696321076222498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820577903) 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, 45587655 + ... + 45587672.

It is an arithmetic number, because the mean of its divisors is an integer number (197546544).

Almost surely, 2^820577943 is an apocalyptic number.

820577943 is a deficient number, since it is larger than the sum of its proper divisors (364701321).

820577943 is a wasteful number, since it uses less digits than its factorization.

820577943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91175333 (or 91175330 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 820577943 is about 28645.7316715772. The cubic root of 820577943 is about 936.2100086245.

It can be divided in two parts, 82057 and 7943, that added together give a square (90000 = 300²).

The spelling of 820577943 in words is "eight hundred twenty million, five hundred seventy-seven thousand, nine hundred forty-three".