420993 has 12 divisors (see below), whose sum is σ = 629460. Its totient is φ = 270816.

The previous prime is 420977. The next prime is 420997. The reversal of 420993 is 399024.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 178929 = 492^2 + 423^2 .

It is not a de Polignac number, because 420993 - 2⁴ = 420977 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420997) 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, 546 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (52455).

2⁴²⁰⁹⁹³ is an apocalyptic number.

It is an amenable number.

420993 is a deficient number, since it is larger than the sum of its proper divisors (208467).

420993 is a wasteful number, since it uses less digits than its factorization.

420993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 420993 is about 648.8397336785. The cubic root of 420993 is about 74.9476968669.

The spelling of 420993 in words is "four hundred twenty thousand, nine hundred ninety-three".