36413 has 4 divisors (see below), whose sum is σ = 39228. Its totient is φ = 33600.

The previous prime is 36389. The next prime is 36433. The reversal of 36413 is 31463.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31463 = 73 ⋅431.

It can be written as a sum of positive squares in 2 ways, for example, as 11449 + 24964 = 107^2 + 158^2 .

It is a cyclic number.

It is not a de Polignac number, because 36413 - 2¹⁴ = 20029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36391 and 36400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1388 + ... + 1413.

It is an arithmetic number, because the mean of its divisors is an integer number (9807).

2³⁶⁴¹³ is an apocalyptic number.

It is an amenable number.

36413 is a deficient number, since it is larger than the sum of its proper divisors (2815).

36413 is a wasteful number, since it uses less digits than its factorization.

36413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814.

The product of its digits is 216, while the sum is 17.

The square root of 36413 is about 190.8219064992. The cubic root of 36413 is about 33.1450608282.

Adding to 36413 its reverse (31463), we get a palindrome (67876).

Subtracting from 36413 its reverse (31463), we obtain a triangular number (4950 = T₉₉).

The spelling of 36413 in words is "thirty-six thousand, four hundred thirteen".