84465 has 12 divisors (see below), whose sum is σ = 146484. Its totient is φ = 45024.

The previous prime is 84463. The next prime is 84467. The reversal of 84465 is 56448.

It is an interprime number because it is at equal distance from previous prime (84463) and next prime (84467).

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 42849 = 204^2 + 207^2 .

It is not a de Polignac number, because 84465 - 2¹ = 84463 is a prime.

84465 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (84463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 894 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (12207).

2⁸⁴⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

84465 is a deficient number, since it is larger than the sum of its proper divisors (62019).

84465 is a wasteful number, since it uses less digits than its factorization.

84465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1885 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 84465 is about 290.6286290096. The cubic root of 84465 is about 43.8758552929.

It can be divided in two parts, 844 and 65, that added together give a palindrome (909).

The spelling of 84465 in words is "eighty-four thousand, four hundred sixty-five".