13772097971 has 2 divisors, whose sum is σ = 13772097972. Its totient is φ = 13772097970.

The previous prime is 13772097961. The next prime is 13772097973. The reversal of 13772097971 is 17979027731.

13772097971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13772097971 is a prime.

It is a super-4 number, since 4×13772097971⁴ (a number of 42 digits) contains 4444 as substring.

Together with 13772097973, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13772097973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6886048985 + 6886048986.

It is an arithmetic number, because the mean of its divisors is an integer number (6886048986).

Almost surely, 2^13772097971 is an apocalyptic number.

13772097971 is a deficient number, since it is larger than the sum of its proper divisors (1).

13772097971 is an equidigital number, since it uses as much as digits as its factorization.

13772097971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1166886, while the sum is 53.

The spelling of 13772097971 in words is "thirteen billion, seven hundred seventy-two million, ninety-seven thousand, nine hundred seventy-one".