420077 has 6 divisors (see below), whose sum is σ = 488718. Its totient is φ = 360024.

The previous prime is 420073. The next prime is 420097. The reversal of 420077 is 770024.

It can be written as a sum of positive squares in only one way, i.e., 329476 + 90601 = 574^2 + 301^2 .

It is not a de Polignac number, because 420077 - 2² = 420073 is a prime.

It is a Duffinian number.

420077 is a modest number, since divided by 77 gives 42 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420073) 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 in 5 ways as a sum of consecutive naturals, for example, 4238 + ... + 4335.

It is an arithmetic number, because the mean of its divisors is an integer number (81453).

2⁴²⁰⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

420077 is a deficient number, since it is larger than the sum of its proper divisors (68641).

420077 is an equidigital number, since it uses as much as digits as its factorization.

420077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 420077 is about 648.1334739080. The cubic root of 420077 is about 74.8933001257.

It can be divided in two parts, 4 and 20077, that multiplied together give a palindrome (80308).

The spelling of 420077 in words is "four hundred twenty thousand, seventy-seven", and thus it is an iban number.