36401 has 4 divisors (see below), whose sum is σ = 36900. Its totient is φ = 35904.

The previous prime is 36389. The next prime is 36433. The reversal of 36401 is 10463.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 21025 + 15376 = 145^2 + 124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36401 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

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 36401.

It is not an unprimeable number, because it can be changed into a prime (36451) 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, 116 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (9225).

2³⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

36401 is a deficient number, since it is larger than the sum of its proper divisors (499).

36401 is an equidigital number, since it uses as much as digits as its factorization.

36401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 36401 is about 190.7904609775. The cubic root of 36401 is about 33.1414194142.

Adding to 36401 its reverse (10463), we get a palindrome (46864).

The spelling of 36401 in words is "thirty-six thousand, four hundred one".