87465 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 37632.

The previous prime is 87443. The next prime is 87473. The reversal of 87465 is 56478.

It is a happy number.

It is not a de Polignac number, because 87465 - 2⁵ = 87433 is a prime.

Its product of digits (6720) is a multiple of the sum of its prime divisors (32).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5137 + ... + 5153.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁸⁷⁴⁶⁵ is an apocalyptic number.

87465 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87465 is a deficient number, since it is larger than the sum of its proper divisors (85335).

87465 is a wasteful number, since it uses less digits than its factorization.

87465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 32 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 87465 is about 295.7448224399. The cubic root of 87465 is about 44.3892799377.

It can be divided in two parts, 874 and 65, that added together give a palindrome (939).

The spelling of 87465 in words is "eighty-seven thousand, four hundred sixty-five".