285416 has 8 divisors (see below), whose sum is σ = 535170. Its totient is φ = 142704.

The previous prime is 285377. The next prime is 285421. The reversal of 285416 is 614582.

It can be written as a sum of positive squares in only one way, i.e., 220900 + 64516 = 470^2 + 254^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

285416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17831 + ... + 17846.

2²⁸⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

285416 is a deficient number, since it is larger than the sum of its proper divisors (249754).

285416 is a wasteful number, since it uses less digits than its factorization.

285416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35683 (or 35679 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 285416 is about 534.2433902258. The cubic root of 285416 is about 65.8404471652.

Subtracting from 285416 its sum of digits (26), we obtain a triangular number (285390 = T₇₅₅).

Adding to 285416 its reverse (614582), we get a palindrome (899998).

The spelling of 285416 in words is "two hundred eighty-five thousand, four hundred sixteen".