361242 has 48 divisors (see below), whose sum is σ = 928512. Its totient is φ = 99360.

The previous prime is 361241. The next prime is 361271. The reversal of 361242 is 242163.

It is a happy number.

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361242.

It is not an unprimeable number, because it can be changed into a prime (361241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5892 + ... + 5952.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

2³⁶¹²⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256).

361242 is an abundant number, since it is smaller than the sum of its proper divisors (567270).

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

361242 is a wasteful number, since it uses less digits than its factorization.

361242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

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

The square root of 361242 is about 601.0341088491. The cubic root of 361242 is about 71.2195807359.

The spelling of 361242 in words is "three hundred sixty-one thousand, two hundred forty-two".