36101 has 4 divisors (see below), whose sum is σ = 38892. Its totient is φ = 33312.

The previous prime is 36097. The next prime is 36107. The reversal of 36101 is 10163.

36101 = 24² + 25² + ... + 49².

It is a Cunningham number, because it is equal to 190²+1.

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 5476 + 30625 = 74^2 + 175^2 .

It is a cyclic number.

It is not a de Polignac number, because 36101 - 2² = 36097 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1376 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (9723).

2³⁶¹⁰¹ is an apocalyptic number.

It is an amenable number.

36101 is a deficient number, since it is larger than the sum of its proper divisors (2791).

36101 is a wasteful number, since it uses less digits than its factorization.

36101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 36101 is about 190.0026315607. The cubic root of 36101 is about 33.0501227906.

Adding to 36101 its reverse (10163), we get a palindrome (46264).

The spelling of 36101 in words is "thirty-six thousand, one hundred one".