36492 has 12 divisors (see below), whose sum is σ = 85176. Its totient is φ = 12160.

The previous prime is 36479. The next prime is 36493. The reversal of 36492 is 29463.

36492 = 64² + 65² + ... + 71².

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁹ + 6³ + 4⁷ + 9² + 2⁷ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36492.

It is not an unprimeable number, because it can be changed into a prime (36493) 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, 1509 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (7098).

2³⁶⁴⁹² is an apocalyptic number.

It is an amenable number.

36492 is an abundant number, since it is smaller than the sum of its proper divisors (48684).

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 (42588).

36492 is a wasteful number, since it uses less digits than its factorization.

36492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3046 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 36492 is about 191.0287936412. The cubic root of 36492 is about 33.1690135233.

It can be divided in two parts, 36 and 492, that added together give a triangular number (528 = T₃₂).

The spelling of 36492 in words is "thirty-six thousand, four hundred ninety-two".