361361 has 24 divisors (see below), whose sum is σ = 512064. Its totient is φ = 246240.

The previous prime is 361357. The next prime is 361363. The reversal of 361361 is 163163.

361361 = 39² + 40² + ... + 104².

It is not a de Polignac number, because 361361 - 2² = 361357 is a prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (361363) 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, 19010 + ... + 19028.

It is an arithmetic number, because the mean of its divisors is an integer number (21336).

2³⁶¹³⁶¹ is an apocalyptic number.

It is an amenable number.

361361 is a deficient number, since it is larger than the sum of its proper divisors (150703).

361361 is a wasteful number, since it uses less digits than its factorization.

361361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 361361 is about 601.1330967431. The cubic root of 361361 is about 71.2274002398.

The spelling of 361361 in words is "three hundred sixty-one thousand, three hundred sixty-one".