106582967 has 2 divisors, whose sum is σ = 106582968. Its totient is φ = 106582966.

The previous prime is 106582963. The next prime is 106583093. The reversal of 106582967 is 769285601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106582967 - 2² = 106582963 is a prime.

It is a super-2 number, since 2×106582967² = 22719857709046178, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106582963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53291483 + 53291484.

It is an arithmetic number, because the mean of its divisors is an integer number (53291484).

Almost surely, 2^106582967 is an apocalyptic number.

106582967 is a deficient number, since it is larger than the sum of its proper divisors (1).

106582967 is an equidigital number, since it uses as much as digits as its factorization.

106582967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 106582967 is about 10323.9027019824. The cubic root of 106582967 is about 474.1283619788.

The spelling of 106582967 in words is "one hundred six million, five hundred eighty-two thousand, nine hundred sixty-seven".