820735037 has 4 divisors (see below), whose sum is σ = 820814880. Its totient is φ = 820655196.

The previous prime is 820734997. The next prime is 820735049. The reversal of 820735037 is 730537028.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 820735037 - 2⁶ = 820734973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820734988 and 820735006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820735057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21743 + ... + 45980.

It is an arithmetic number, because the mean of its divisors is an integer number (205203720).

Almost surely, 2^820735037 is an apocalyptic number.

It is an amenable number.

820735037 is a deficient number, since it is larger than the sum of its proper divisors (79843).

820735037 is a wasteful number, since it uses less digits than its factorization.

820735037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79842.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 820735037 is about 28648.4735544496. The cubic root of 820735037 is about 936.2697484668.

The spelling of 820735037 in words is "eight hundred twenty million, seven hundred thirty-five thousand, thirty-seven".