420997 has 2 divisors, whose sum is σ = 420998. Its totient is φ = 420996.

The previous prime is 420977. The next prime is 421009. The reversal of 420997 is 799024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 314721 + 106276 = 561^2 + 326^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-420997 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210498 + 210499.

It is an arithmetic number, because the mean of its divisors is an integer number (210499).

2⁴²⁰⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

420997 is a deficient number, since it is larger than the sum of its proper divisors (1).

420997 is an equidigital number, since it uses as much as digits as its factorization.

420997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 420997 is about 648.8428160965. The cubic root of 420997 is about 74.9479342341.

The spelling of 420997 in words is "four hundred twenty thousand, nine hundred ninety-seven".