40361 has 2 divisors, whose sum is σ = 40362. Its totient is φ = 40360.

The previous prime is 40357. The next prime is 40387. The reversal of 40361 is 16304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 361 = 200^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 40361 - 2² = 40357 is a prime.

It is a Chen prime.

It is equal to p₄₂₃₅ and since 40361 and 4235 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (40351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20180 + 20181.

It is an arithmetic number, because the mean of its divisors is an integer number (20181).

2⁴⁰³⁶¹ is an apocalyptic number.

It is an amenable number.

40361 is a deficient number, since it is larger than the sum of its proper divisors (1).

40361 is an equidigital number, since it uses as much as digits as its factorization.

40361 is an odious number, because the sum of its binary digits is odd.

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

The square root of 40361 is about 200.9004728715. The cubic root of 40361 is about 34.3020945209.

Adding to 40361 its reverse (16304), we get a palindrome (56665).

It can be divided in two parts, 403 and 61, that added together give a palindrome (464).

The spelling of 40361 in words is "forty thousand, three hundred sixty-one".