360349 has 16 divisors (see below), whose sum is σ = 435456. Its totient is φ = 294400.

The previous prime is 360337. The next prime is 360391. The reversal of 360349 is 943063.

360349 = 73² + 74² + ... + 113².

It is a cyclic number.

It is not a de Polignac number, because 360349 - 2⁵ = 360317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7644 + ... + 7690.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2³⁶⁰³⁴⁹ is an apocalyptic number.

It is an amenable number.

360349 is a deficient number, since it is larger than the sum of its proper divisors (75107).

360349 is a wasteful number, since it uses less digits than its factorization.

360349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 360349 is about 600.2907628808. The cubic root of 360349 is about 71.1608467349.

The spelling of 360349 in words is "three hundred sixty thousand, three hundred forty-nine".