61201 has 6 divisors (see below), whose sum is σ = 71250. Its totient is φ = 52416.

The previous prime is 61169. The next prime is 61211. The reversal of 61201 is 10216.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 11025 = 224^2 + 105^2 .

It is not a de Polignac number, because 61201 - 2⁵ = 61169 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61211) 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, 576 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (11875).

2⁶¹²⁰¹ is an apocalyptic number.

It is an amenable number.

61201 is a deficient number, since it is larger than the sum of its proper divisors (10049).

61201 is a wasteful number, since it uses less digits than its factorization.

61201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 61201 is about 247.3883586590. The cubic root of 61201 is about 39.4081613643.

Adding to 61201 its reverse (10216), we get a palindrome (71417).

It can be divided in two parts, 61 and 201, that added together give a palindrome (262).

The spelling of 61201 in words is "sixty-one thousand, two hundred one".