36461 has 6 divisors (see below), whose sum is σ = 38862. Its totient is φ = 34200.

The previous prime is 36457. The next prime is 36467. The reversal of 36461 is 16463.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 361 = 190^2 + 19^2 .

It is not a de Polignac number, because 36461 - 2² = 36457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

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 36461.

It is not an unprimeable number, because it can be changed into a prime (36467) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (6477).

2³⁶⁴⁶¹ is an apocalyptic number.

It is an amenable number.

36461 is a deficient number, since it is larger than the sum of its proper divisors (2401).

36461 is a wasteful number, since it uses less digits than its factorization.

36461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 36461 is about 190.9476368013. The cubic root of 36461 is about 33.1596184895.

Adding to 36461 its sum of digits (20), we get a square (36481 = 191²).

The spelling of 36461 in words is "thirty-six thousand, four hundred sixty-one".