36414 has 36 divisors (see below), whose sum is σ = 95784. Its totient is φ = 9792.

The previous prime is 36389. The next prime is 36433. The reversal of 36414 is 41463.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 7.

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 36414.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2134 + ... + 2150.

2³⁶⁴¹⁴ is an apocalyptic number.

36414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47892).

36414 is an abundant number, since it is smaller than the sum of its proper divisors (59370).

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

36414 is a wasteful number, since it uses less digits than its factorization.

36414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 29 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 36414 is about 190.8245267255. The cubic root of 36414 is about 33.1453642433.

Adding to 36414 its reverse (41463), we get a palindrome (77877).

It can be divided in two parts, 364 and 14, that added together give a triangular number (378 = T₂₇).

The spelling of 36414 in words is "thirty-six thousand, four hundred fourteen".