6405137 has 2 divisors, whose sum is σ = 6405138. Its totient is φ = 6405136.

The previous prime is 6405131. The next prime is 6405149. The reversal of 6405137 is 7315046.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4456321 + 1948816 = 2111^2 + 1396^2 .

It is a cyclic number.

It is not a de Polignac number, because 6405137 - 2¹⁸ = 6142993 is a prime.

It is equal to p₄₃₈₇₄₀ and since 6405137 and 438740 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (6405131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3202568 + 3202569.

It is an arithmetic number, because the mean of its divisors is an integer number (3202569).

Almost surely, 2^6405137 is an apocalyptic number.

It is an amenable number.

6405137 is a deficient number, since it is larger than the sum of its proper divisors (1).

6405137 is an equidigital number, since it uses as much as digits as its factorization.

6405137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 6405137 is about 2530.8372132557. The cubic root of 6405137 is about 185.7132147304.

Subtracting 6405137 from its reverse (7315046), we obtain a palindrome (909909).

The spelling of 6405137 in words is "six million, four hundred five thousand, one hundred thirty-seven".