32416 has 12 divisors (see below), whose sum is σ = 63882. Its totient is φ = 16192.

The previous prime is 32413. The next prime is 32423. The reversal of 32416 is 61423.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 16 = 180^2 + 4^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 11.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 32416.

It is not an unprimeable number, because it can be changed into a prime (32411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 475 + ... + 538.

2³²⁴¹⁶ is an apocalyptic number.

It is an amenable number.

32416 is a deficient number, since it is larger than the sum of its proper divisors (31466).

32416 is a wasteful number, since it uses less digits than its factorization.

32416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 32416 is about 180.0444389588. The cubic root of 32416 is about 31.8850039085.

Subtracting from 32416 its sum of digits (16), we obtain a square (32400 = 180²).

Adding to 32416 its reverse (61423), we get a palindrome (93839).

It can be divided in two parts, 324 and 16, that multiplied together give a square (5184 = 72²).

The spelling of 32416 in words is "thirty-two thousand, four hundred sixteen".