102829967 has 2 divisors, whose sum is σ = 102829968. Its totient is φ = 102829966.

The previous prime is 102829963. The next prime is 102829999. The reversal of 102829967 is 769928201.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102829967 - 2² = 102829963 is a prime.

It is a super-2 number, since 2×102829967² = 21148004226442178, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102829963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51414983 + 51414984.

It is an arithmetic number, because the mean of its divisors is an integer number (51414984).

Almost surely, 2^102829967 is an apocalyptic number.

102829967 is a deficient number, since it is larger than the sum of its proper divisors (1).

102829967 is an equidigital number, since it uses as much as digits as its factorization.

102829967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 102829967 is about 10140.5111804090. The cubic root of 102829967 is about 468.4967316386.

The spelling of 102829967 in words is "one hundred two million, eight hundred twenty-nine thousand, nine hundred sixty-seven".