422136 has 96 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 115200.

The previous prime is 422129. The next prime is 422137. The reversal of 422136 is 631224.

422136 = 51³ + 52³ + 53³.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 422136.

It is not an unprimeable number, because it can be changed into a prime (422137) by changing a digit.

422136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10276 + ... + 10316.

2⁴²²¹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

422136 is an abundant number, since it is smaller than the sum of its proper divisors (953784).

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

422136 is a wasteful number, since it uses less digits than its factorization.

422136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 70 counting only the distinct ones).

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

The square root of 422136 is about 649.7199396663. The cubic root of 422136 is about 75.0154634782.

The spelling of 422136 in words is "four hundred twenty-two thousand, one hundred thirty-six".