820095137 has 2 divisors, whose sum is σ = 820095138. Its totient is φ = 820095136.

The previous prime is 820095131. The next prime is 820095139. The reversal of 820095137 is 731590028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 688327696 + 131767441 = 26236^2 + 11479^2 .

It is a cyclic number.

It is not a de Polignac number, because 820095137 - 2¹⁶ = 820029601 is a prime.

Together with 820095139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 820095097 and 820095106.

It is not a weakly prime, because it can be changed into another prime (820095131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410047568 + 410047569.

It is an arithmetic number, because the mean of its divisors is an integer number (410047569).

Almost surely, 2^820095137 is an apocalyptic number.

It is an amenable number.

820095137 is a deficient number, since it is larger than the sum of its proper divisors (1).

820095137 is an equidigital number, since it uses as much as digits as its factorization.

820095137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 820095137 is about 28637.3032424493. The cubic root of 820095137 is about 936.0263590021.

The spelling of 820095137 in words is "eight hundred twenty million, ninety-five thousand, one hundred thirty-seven".