4967408137 has 2 divisors, whose sum is σ = 4967408138. Its totient is φ = 4967408136.

The previous prime is 4967408119. The next prime is 4967408161. The reversal of 4967408137 is 7318047694.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4119200761 + 848207376 = 64181^2 + 29124^2 .

It is a cyclic number.

It is not a de Polignac number, because 4967408137 - 2¹¹ = 4967406089 is a prime.

It is not a weakly prime, because it can be changed into another prime (4967408167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2483704068 + 2483704069.

It is an arithmetic number, because the mean of its divisors is an integer number (2483704069).

Almost surely, 2^4967408137 is an apocalyptic number.

It is an amenable number.

4967408137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4967408137 is an equidigital number, since it uses as much as digits as its factorization.

4967408137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 4967408137 is about 70479.8420614008. The cubic root of 4967408137 is about 1706.2524243647.

The spelling of 4967408137 in words is "four billion, nine hundred sixty-seven million, four hundred eight thousand, one hundred thirty-seven".