364122 has 32 divisors (see below), whose sum is σ = 884160. Its totient is φ = 110160.

The previous prime is 364103. The next prime is 364127. The reversal of 364122 is 221463.

It is a happy number.

364122 is a `hidden beast` number, since 3 + 641 + 22 = 666.

364122 is nontrivially palindromic in base 7.

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

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 364095 and 364104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364122.

It is not an unprimeable number, because it can be changed into a prime (364127) by changing a digit.

364122 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 15 ways as a sum of consecutive naturals, for example, 288 + ... + 900.

It is an arithmetic number, because the mean of its divisors is an integer number (27630).

2³⁶⁴¹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442080).

364122 is an abundant number, since it is smaller than the sum of its proper divisors (520038).

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

364122 is a wasteful number, since it uses less digits than its factorization.

364122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

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

The square root of 364122 is about 603.4252232050. The cubic root of 364122 is about 71.4083458926.

Adding to 364122 its reverse (221463), we get a palindrome (585585).

It can be divided in two parts, 3641 and 22, that added together give a palindrome (3663).

The spelling of 364122 in words is "three hundred sixty-four thousand, one hundred twenty-two".