420093 has 8 divisors (see below), whose sum is σ = 622400. Its totient is φ = 280044.

The previous prime is 420073. The next prime is 420097. The reversal of 420093 is 390024.

It is not a de Polignac number, because 420093 - 2⁶ = 420029 is a prime.

It is a Duffinian number.

It is a Curzon number.

420093 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420093.

It is not an unprimeable number, because it can be changed into a prime (420097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7753 + ... + 7806.

It is an arithmetic number, because the mean of its divisors is an integer number (77800).

2⁴²⁰⁰⁹³ is an apocalyptic number.

It is an amenable number.

420093 is a deficient number, since it is larger than the sum of its proper divisors (202307).

420093 is a wasteful number, since it uses less digits than its factorization.

420093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15568 (or 15562 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 420093 is about 648.1458169270. The cubic root of 420093 is about 74.8942509653.

The spelling of 420093 in words is "four hundred twenty thousand, ninety-three".