820677101 has 2 divisors, whose sum is σ = 820677102. Its totient is φ = 820677100.

The previous prime is 820677073. The next prime is 820677113. The reversal of 820677101 is 101776028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 661261225 + 159415876 = 25715^2 + 12626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820677101 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820677161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410338550 + 410338551.

It is an arithmetic number, because the mean of its divisors is an integer number (410338551).

Almost surely, 2^820677101 is an apocalyptic number.

It is an amenable number.

820677101 is a deficient number, since it is larger than the sum of its proper divisors (1).

820677101 is an equidigital number, since it uses as much as digits as its factorization.

820677101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 820677101 is about 28647.4623832548. The cubic root of 820677101 is about 936.2477174019.

The spelling of 820677101 in words is "eight hundred twenty million, six hundred seventy-seven thousand, one hundred one".