820677113 has 2 divisors, whose sum is σ = 820677114. Its totient is φ = 820677112.

The previous prime is 820677101. The next prime is 820677139. The reversal of 820677113 is 311776028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 617671609 + 203005504 = 24853^2 + 14248^2 .

It is a cyclic number.

It is not a de Polignac number, because 820677113 - 2¹⁰ = 820676089 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (820671113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410338556 + 410338557.

It is an arithmetic number, because the mean of its divisors is an integer number (410338557).

Almost surely, 2^820677113 is an apocalyptic number.

It is an amenable number.

820677113 is a deficient number, since it is larger than the sum of its proper divisors (1).

820677113 is an equidigital number, since it uses as much as digits as its factorization.

820677113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 820677113 is about 28647.4625926975. The cubic root of 820677113 is about 936.2477219652.

The spelling of 820677113 in words is "eight hundred twenty million, six hundred seventy-seven thousand, one hundred thirteen".