420757 has 2 divisors, whose sum is σ = 420758. Its totient is φ = 420756.

The previous prime is 420743. The next prime is 420769. The reversal of 420757 is 757024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221841 + 198916 = 471^2 + 446^2 .

It is a cyclic number.

It is not a de Polignac number, because 420757 - 2¹¹ = 418709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420737) 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, 210378 + 210379.

It is an arithmetic number, because the mean of its divisors is an integer number (210379).

2⁴²⁰⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

420757 is a deficient number, since it is larger than the sum of its proper divisors (1).

420757 is an equidigital number, since it uses as much as digits as its factorization.

420757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 420757 is about 648.6578450925. The cubic root of 420757 is about 74.9336895377.

It can be divided in two parts, 4 and 20757, that multiplied together give a triangular number (83028 = T₄₀₇).

The spelling of 420757 in words is "four hundred twenty thousand, seven hundred fifty-seven".