361201 has 3 divisors (see below), whose sum is σ = 361803. Its totient is φ = 360600.

The previous prime is 361183. The next prime is 361211. The reversal of 361201 is 102163.

The square root of 361201 is 601.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 303601 + 57600 = 551^2 + 240^2 .

It is not a de Polignac number, because 361201 - 2¹¹ = 359153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (361211) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 301 + ... + 901.

It is an arithmetic number, because the mean of its divisors is an integer number (120601).

361201 is a Friedman number, since it can be written as 601^2*1^3, using all its digits and the basic arithmetic operations.

2³⁶¹²⁰¹ is an apocalyptic number.

361201 is the 601-st square number.

361201 is the 301-st centered octagonal number.

It is an amenable number.

361201 is a deficient number, since it is larger than the sum of its proper divisors (602).

361201 is an frugal number, since it uses more digits than its factorization.

361201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The cubic root of 361201 is about 71.2168862234.

Multiplying 361201 by its product of nonzero digits (36), we get a square (13003236 = 3606²).

Adding to 361201 its reverse (102163), we get a palindrome (463364).

The spelling of 361201 in words is "three hundred sixty-one thousand, two hundred one".