420537 has 16 divisors (see below), whose sum is σ = 620928. Its totient is φ = 251520.

The previous prime is 420521. The next prime is 420551. The reversal of 420537 is 735024.

It is a happy number.

It is not a de Polignac number, because 420537 - 2⁴ = 420521 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420537.

It is not an unprimeable number, because it can be changed into a prime (420557) 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 15 ways as a sum of consecutive naturals, for example, 1468 + ... + 1730.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2⁴²⁰⁵³⁷ is an apocalyptic number.

It is an amenable number.

420537 is a deficient number, since it is larger than the sum of its proper divisors (200391).

420537 is a wasteful number, since it uses less digits than its factorization.

420537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 420537 is about 648.4882419906. The cubic root of 420537 is about 74.9206271401.

The spelling of 420537 in words is "four hundred twenty thousand, five hundred thirty-seven".