363465 has 24 divisors (see below), whose sum is σ = 648648. Its totient is φ = 188160.

The previous prime is 363463. The next prime is 363481. The reversal of 363465 is 564363.

It can be written as a sum of positive squares in 4 ways, for example, as 45369 + 318096 = 213^2 + 564^2 .

It is not a de Polignac number, because 363465 - 2¹ = 363463 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 6 + 4⁵ + 3⁷ + 6⁷ + 5⁷ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363465.

It is not an unprimeable number, because it can be changed into a prime (363463) 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, 1747 + ... + 1943.

It is an arithmetic number, because the mean of its divisors is an integer number (27027).

2³⁶³⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

363465 is a deficient number, since it is larger than the sum of its proper divisors (285183).

363465 is a wasteful number, since it uses less digits than its factorization.

363465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 246 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 363465 is about 602.8805851908. The cubic root of 363465 is about 71.3653717167.

It can be divided in two parts, 363 and 465, that added together give a palindrome (828).

The spelling of 363465 in words is "three hundred sixty-three thousand, four hundred sixty-five".