36061 has 2 divisors, whose sum is σ = 36062. Its totient is φ = 36060.

The previous prime is 36037. The next prime is 36067. The reversal of 36061 is 16063.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27225 + 8836 = 165^2 + 94^2 .

It is an emirp because it is prime and its reverse (16063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36061 - 2⁷ = 35933 is a prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18030 + 18031.

It is an arithmetic number, because the mean of its divisors is an integer number (18031).

2³⁶⁰⁶¹ is an apocalyptic number.

It is an amenable number.

36061 is a deficient number, since it is larger than the sum of its proper divisors (1).

36061 is an equidigital number, since it uses as much as digits as its factorization.

36061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 36061 is about 189.8973406870. The cubic root of 36061 is about 33.0379117395.

Subtracting from 36061 its product of nonzero digits (108), we obtain a palindrome (35953).

The spelling of 36061 in words is "thirty-six thousand, sixty-one".