4131165397 has 2 divisors, whose sum is σ = 4131165398. Its totient is φ = 4131165396.

The previous prime is 4131165377. The next prime is 4131165419. The reversal of 4131165397 is 7935611314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4128576516 + 2588881 = 64254^2 + 1609^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4131165397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4131165377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2065582698 + 2065582699.

It is an arithmetic number, because the mean of its divisors is an integer number (2065582699).

Almost surely, 2^4131165397 is an apocalyptic number.

It is an amenable number.

4131165397 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131165397 is an equidigital number, since it uses as much as digits as its factorization.

4131165397 is an evil number, because the sum of its binary digits is even.

The product of its digits is 68040, while the sum is 40.

The square root of 4131165397 is about 64274.1425224794. The cubic root of 4131165397 is about 1604.5657863381.

The spelling of 4131165397 in words is "four billion, one hundred thirty-one million, one hundred sixty-five thousand, three hundred ninety-seven".