820742567 has 2 divisors, whose sum is σ = 820742568. Its totient is φ = 820742566.

The previous prime is 820742519. The next prime is 820742579. The reversal of 820742567 is 765247028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820742567 - 2²⁶ = 753633703 is a prime.

It is a super-2 number, since 2×820742567² = 1347236722571498978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820742467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410371283 + 410371284.

It is an arithmetic number, because the mean of its divisors is an integer number (410371284).

Almost surely, 2^820742567 is an apocalyptic number.

820742567 is a deficient number, since it is larger than the sum of its proper divisors (1).

820742567 is an equidigital number, since it uses as much as digits as its factorization.

820742567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 820742567 is about 28648.6049747627. The cubic root of 820742567 is about 936.2726117903.

The spelling of 820742567 in words is "eight hundred twenty million, seven hundred forty-two thousand, five hundred sixty-seven".