421633 has 2 divisors, whose sum is σ = 421634. Its totient is φ = 421632.

The previous prime is 421621. The next prime is 421639. The reversal of 421633 is 336124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 47089 = 612^2 + 217^2 .

It is a cyclic number.

It is not a de Polignac number, because 421633 - 2⁹ = 421121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 421633.

It is not a weakly prime, because it can be changed into another prime (421639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210816 + 210817.

It is an arithmetic number, because the mean of its divisors is an integer number (210817).

2⁴²¹⁶³³ is an apocalyptic number.

It is an amenable number.

421633 is a deficient number, since it is larger than the sum of its proper divisors (1).

421633 is an equidigital number, since it uses as much as digits as its factorization.

421633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 19.

The square root of 421633 is about 649.3327344282. The cubic root of 421633 is about 74.9856565163.

Subtracting from 421633 its product of digits (432), we obtain a square (421201 = 649²).

Adding to 421633 its reverse (336124), we get a palindrome (757757).

It can be divided in two parts, 4216 and 33, that multiplied together give a triangular number (139128 = T₅₂₇).

The spelling of 421633 in words is "four hundred twenty-one thousand, six hundred thirty-three".