318465 has 32 divisors (see below), whose sum is σ = 648960. Its totient is φ = 145152.

The previous prime is 318457. The next prime is 318467. The reversal of 318465 is 564813.

It is not a de Polignac number, because 318465 - 2³ = 318457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 318465.

It is not an unprimeable number, because it can be changed into a prime (318467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777 + ... + 1113.

It is an arithmetic number, because the mean of its divisors is an integer number (20280).

It is a Proth number, since it is equal to 311 ⋅ 2¹⁰ + 1 and 311 < 2¹⁰.

2³¹⁸⁴⁶⁵ is an apocalyptic number.

318465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

318465 is an abundant number, since it is smaller than the sum of its proper divisors (330495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

318465 is a wasteful number, since it uses less digits than its factorization.

318465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 318465 is about 564.3270328453. The cubic root of 318465 is about 68.2894953143.

It can be divided in two parts, 3184 and 65, that added together give a square (3249 = 57²).

The spelling of 318465 in words is "three hundred eighteen thousand, four hundred sixty-five".