536985 has 12 divisors (see below), whose sum is σ = 930852. Its totient is φ = 286368.

The previous prime is 536971. The next prime is 536989. The reversal of 536985 is 589635.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 205209 = 576^2 + 453^2 .

It is not a de Polignac number, because 536985 - 2⁵ = 536953 is a prime.

536985 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 536985.

It is not an unprimeable number, because it can be changed into a prime (536989) 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, 5922 + ... + 6011.

It is an arithmetic number, because the mean of its divisors is an integer number (77571).

2⁵³⁶⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

536985 is a deficient number, since it is larger than the sum of its proper divisors (393867).

536985 is a wasteful number, since it uses less digits than its factorization.

536985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11944 (or 11941 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 536985 is about 732.7926036745. The cubic root of 536985 is about 81.2806905754.

Subtracting 536985 from its reverse (589635), we obtain a triangular number (52650 = T₃₂₄).

It can be divided in two parts, 536 and 985, that added together give a square (1521 = 39²).

The spelling of 536985 in words is "five hundred thirty-six thousand, nine hundred eighty-five".