420905137 has 2 divisors, whose sum is σ = 420905138. Its totient is φ = 420905136.

The previous prime is 420905131. The next prime is 420905143. The reversal of 420905137 is 731509024.

It is a balanced prime because it is at equal distance from previous prime (420905131) and next prime (420905143).

It can be written as a sum of positive squares in only one way, i.e., 344325136 + 76580001 = 18556^2 + 8751^2 .

It is a cyclic number.

It is not a de Polignac number, because 420905137 - 2²³ = 412516529 is a prime.

It is a super-2 number, since 2×420905137² = 354322268705977538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420905099 and 420905108.

It is not a weakly prime, because it can be changed into another prime (420905131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210452568 + 210452569.

It is an arithmetic number, because the mean of its divisors is an integer number (210452569).

Almost surely, 2^420905137 is an apocalyptic number.

It is an amenable number.

420905137 is a deficient number, since it is larger than the sum of its proper divisors (1).

420905137 is an equidigital number, since it uses as much as digits as its factorization.

420905137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 420905137 is about 20515.9727285839. The cubic root of 420905137 is about 749.4248253820.

The spelling of 420905137 in words is "four hundred twenty million, nine hundred five thousand, one hundred thirty-seven".