421953 has 16 divisors (see below), whose sum is σ = 654336. Its totient is φ = 236880.

The previous prime is 421943. The next prime is 421973. The reversal of 421953 is 359124.

It is not a de Polignac number, because 421953 - 2⁸ = 421697 is a prime.

It is a Curzon number.

421953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (421913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350 + ... + 1632.

It is an arithmetic number, because the mean of its divisors is an integer number (40896).

2⁴²¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

421953 is a deficient number, since it is larger than the sum of its proper divisors (232383).

421953 is a wasteful number, since it uses less digits than its factorization.

421953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364.

The product of its digits is 1080, while the sum is 24.

The square root of 421953 is about 649.5790944912. The cubic root of 421953 is about 75.0046219374.

The spelling of 421953 in words is "four hundred twenty-one thousand, nine hundred fifty-three".