283985 has 16 divisors (see below), whose sum is σ = 390096. Its totient is φ = 196608.

The previous prime is 283979. The next prime is 284003. The reversal of 283985 is 589382.

283985 = T₇₉ + T₈₀ + ... + T₁₂₉.

283985 is nontrivially palindromic in base 2 and base 4.

It can be written as a sum of positive squares in 8 ways, for example, as 12544 + 271441 = 112^2 + 521^2 .

It is a cyclic number.

It is not a de Polignac number, because 283985 - 2¹⁴ = 267601 is a prime.

It is a d-powerful number, because it can be written as 2¹⁴ + 8² + 9² + 3⁷ + 8⁶ + 5⁵ .

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977 + ... + 1233.

It is an arithmetic number, because the mean of its divisors is an integer number (24381).

2²⁸³⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

283985 is a deficient number, since it is larger than the sum of its proper divisors (106111).

283985 is a wasteful number, since it uses less digits than its factorization.

283985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292.

The product of its digits is 17280, while the sum is 35.

The square root of 283985 is about 532.9024300939. The cubic root of 283985 is about 65.7302272514.

The spelling of 283985 in words is "two hundred eighty-three thousand, nine hundred eighty-five".