421362 has 42 divisors (see below), whose sum is σ = 1006653. Its totient is φ = 132192.

The previous prime is 421361. The next prime is 421381. The reversal of 421362 is 263124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 385641 + 35721 = 621^2 + 189^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=459.

It is a super-3 number, since 3×421362³ = 224433330846029784, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 421362.

It is not an unprimeable number, because it can be changed into a prime (421361) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 24778 + ... + 24794.

2⁴²¹³⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421362

421362 is an abundant number, since it is smaller than the sum of its proper divisors (585291).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421362 is an equidigital number, since it uses as much as digits as its factorization.

421362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 22 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 421362 is about 649.1240251293. The cubic root of 421362 is about 74.9695876695.

Multiplying 421362 by its sum of digits (18), we get a square (7584516 = 2754²).

421362 divided by its sum of digits (18) gives a square (23409 = 153²).

Multiplying 421362 by its product of digits (288), we get a square (121352256 = 11016²).

Adding to 421362 its reverse (263124), we get a palindrome (684486).

The spelling of 421362 in words is "four hundred twenty-one thousand, three hundred sixty-two".