420541337 has 2 divisors, whose sum is σ = 420541338. Its totient is φ = 420541336.

The previous prime is 420541313. The next prime is 420541339. The reversal of 420541337 is 733145024.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286421776 + 134119561 = 16924^2 + 11581^2 .

It is a cyclic number.

It is not a de Polignac number, because 420541337 - 2¹⁴ = 420524953 is a prime.

It is a super-2 number, since 2×420541337² = 353710032251495138, which contains 22 as substring.

Together with 420541339, 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 (420541339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210270668 + 210270669.

It is an arithmetic number, because the mean of its divisors is an integer number (210270669).

Almost surely, 2^420541337 is an apocalyptic number.

It is an amenable number.

420541337 is a deficient number, since it is larger than the sum of its proper divisors (1).

420541337 is an equidigital number, since it uses as much as digits as its factorization.

420541337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 420541337 is about 20507.1045493995. The cubic root of 420541337 is about 749.2088469144.

The spelling of 420541337 in words is "four hundred twenty million, five hundred forty-one thousand, three hundred thirty-seven".