78117029 has 2 divisors, whose sum is σ = 78117030. Its totient is φ = 78117028.

The previous prime is 78116963. The next prime is 78117031. The reversal of 78117029 is 92071187.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40576900 + 37540129 = 6370^2 + 6127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-78117029 is a prime.

It is a super-2 number, since 2×78117029² = 12204540439573682, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 78117031, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 78117029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (78117079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39058514 + 39058515.

It is an arithmetic number, because the mean of its divisors is an integer number (39058515).

Almost surely, 2^78117029 is an apocalyptic number.

It is an amenable number.

78117029 is a deficient number, since it is larger than the sum of its proper divisors (1).

78117029 is an equidigital number, since it uses as much as digits as its factorization.

78117029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 78117029 is about 8838.3838454776. The cubic root of 78117029 is about 427.4794472752.

The spelling of 78117029 in words is "seventy-eight million, one hundred seventeen thousand, twenty-nine".