36296 has 16 divisors (see below), whose sum is σ = 73500. Its totient is φ = 16704.

The previous prime is 36293. The next prime is 36299. The reversal of 36296 is 69263.

It is an interprime number because it is at equal distance from previous prime (36293) and next prime (36299).

It can be written as a sum of positive squares in 2 ways, for example, as 36100 + 196 = 190^2 + 14^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁷ + 6² + 2¹⁵ + 9 + 6⁴ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36296.

It is not an unprimeable number, because it can be changed into a prime (36293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71 + ... + 278.

2³⁶²⁹⁶ is an apocalyptic number.

It is an amenable number.

36296 is an abundant number, since it is smaller than the sum of its proper divisors (37204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36750).

36296 is a wasteful number, since it uses less digits than its factorization.

36296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

The square root of 36296 is about 190.5150912658. The cubic root of 36296 is about 33.1095228515.

The spelling of 36296 in words is "thirty-six thousand, two hundred ninety-six".