107638967 has 2 divisors, whose sum is σ = 107638968. Its totient is φ = 107638966.

The previous prime is 107638963. The next prime is 107638969. The reversal of 107638967 is 769836701.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 107638967 - 2² = 107638963 is a prime.

It is a super-2 number, since 2×107638967² = 23172294433654178, which contains 22 as substring.

Together with 107638969, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107638961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53819483 + 53819484.

It is an arithmetic number, because the mean of its divisors is an integer number (53819484).

Almost surely, 2^107638967 is an apocalyptic number.

107638967 is a deficient number, since it is larger than the sum of its proper divisors (1).

107638967 is an equidigital number, since it uses as much as digits as its factorization.

107638967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 107638967 is about 10374.9200960778. The cubic root of 107638967 is about 475.6890711810.

The spelling of 107638967 in words is "one hundred seven million, six hundred thirty-eight thousand, nine hundred sixty-seven".