820332645 has 32 divisors (see below), whose sum is σ = 1433738880. Its totient is φ = 397213440.

The previous prime is 820332641. The next prime is 820332649. The reversal of 820332645 is 546233028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (820332641) and next prime (820332649).

It is not a de Polignac number, because 820332645 - 2² = 820332641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820332641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141871 + ... + 147539.

It is an arithmetic number, because the mean of its divisors is an integer number (44804340).

Almost surely, 2^820332645 is an apocalyptic number.

It is an amenable number.

820332645 is a deficient number, since it is larger than the sum of its proper divisors (613406235).

820332645 is a wasteful number, since it uses less digits than its factorization.

820332645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 820332645 is about 28641.4497712668. The cubic root of 820332645 is about 936.1167112391.

The spelling of 820332645 in words is "eight hundred twenty million, three hundred thirty-two thousand, six hundred forty-five".