87417 has 12 divisors (see below), whose sum is σ = 137904. Its totient is φ = 52920.

The previous prime is 87407. The next prime is 87421. The reversal of 87417 is 71478.

It is not a de Polignac number, because 87417 - 2¹¹ = 85369 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (87407) 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, 343 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (11492).

2⁸⁷⁴¹⁷ is an apocalyptic number.

It is an amenable number.

87417 is a deficient number, since it is larger than the sum of its proper divisors (50487).

87417 is a wasteful number, since it uses less digits than its factorization.

87417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 897 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 87417 is about 295.6636602628. The cubic root of 87417 is about 44.3811583069.

Subtracting from 87417 its product of digits (1568), we obtain a square (85849 = 293²).

The spelling of 87417 in words is "eighty-seven thousand, four hundred seventeen".