421993 has 12 divisors (see below), whose sum is σ = 500688. Its totient is φ = 352560.

The previous prime is 421987. The next prime is 421997. The reversal of 421993 is 399124.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-421993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (421997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1746 + ... + 1972.

It is an arithmetic number, because the mean of its divisors is an integer number (41724).

2⁴²¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

421993 is a deficient number, since it is larger than the sum of its proper divisors (78695).

421993 is a wasteful number, since it uses less digits than its factorization.

421993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 421993 is about 649.6098829297. The cubic root of 421993 is about 75.0069919407.

The spelling of 421993 in words is "four hundred twenty-one thousand, nine hundred ninety-three".