967778101 has 2 divisors, whose sum is σ = 967778102. Its totient is φ = 967778100.

The previous prime is 967778099. The next prime is 967778113. The reversal of 967778101 is 101877769.

967778101 = T₂₅₃₉₉ + T₂₅₄₀₀ + T₂₅₄₀₁.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 865242225 + 102535876 = 29415^2 + 10126^2 .

It is a cyclic number.

It is not a de Polignac number, because 967778101 - 2¹ = 967778099 is a prime.

Together with 967778099, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (967778501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483889050 + 483889051.

It is an arithmetic number, because the mean of its divisors is an integer number (483889051).

Almost surely, 2^967778101 is an apocalyptic number.

967778101 is the 25401-st centered triangular number.

It is an amenable number.

967778101 is a deficient number, since it is larger than the sum of its proper divisors (1).

967778101 is an equidigital number, since it uses as much as digits as its factorization.

967778101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 148176, while the sum is 46.

The square root of 967778101 is about 31109.1321158273. The cubic root of 967778101 is about 989.1418952797.

It can be divided in two parts, 9677 and 78101, that added together give a palindrome (87778).

The spelling of 967778101 in words is "nine hundred sixty-seven million, seven hundred seventy-eight thousand, one hundred one".