361369 has 8 divisors (see below), whose sum is σ = 396360. Its totient is φ = 327936.

The previous prime is 361363. The next prime is 361373. The reversal of 361369 is 963163.

It can be written as a sum of positive squares in 4 ways, for example, as 211600 + 149769 = 460^2 + 387^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 361369 - 2⁵ = 361337 is a prime.

It is a super-2 number, since 2×361369² = 261175108322, which contains 22 as substring.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 127 + ... + 859.

It is an arithmetic number, because the mean of its divisors is an integer number (49545).

2³⁶¹³⁶⁹ is an apocalyptic number.

It is an amenable number.

361369 is a deficient number, since it is larger than the sum of its proper divisors (34991).

361369 is a wasteful number, since it uses less digits than its factorization.

361369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its digits is 2916, while the sum is 28.

The square root of 361369 is about 601.1397508067. The cubic root of 361369 is about 71.2279258591.

It can be divided in two parts, 36 and 1369, that multiplied together give a square (49284 = 222²).

The spelling of 361369 in words is "three hundred sixty-one thousand, three hundred sixty-nine".