32261 has 2 divisors, whose sum is σ = 32262. Its totient is φ = 32260.

The previous prime is 32257. The next prime is 32297. The reversal of 32261 is 16223.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21025 + 11236 = 145^2 + 106^2 .

It is an emirp because it is prime and its reverse (16223) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32261 - 2² = 32257 is a prime.

It is equal to p₃₄₆₁ and since 32261 and 3461 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16130 + 16131.

It is an arithmetic number, because the mean of its divisors is an integer number (16131).

2³²²⁶¹ is an apocalyptic number.

It is an amenable number.

32261 is a deficient number, since it is larger than the sum of its proper divisors (1).

32261 is an equidigital number, since it uses as much as digits as its factorization.

32261 is an evil number, because the sum of its binary digits is even.

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

The square root of 32261 is about 179.6134738821. The cubic root of 32261 is about 31.8341023604.

Adding to 32261 its reverse (16223), we get a palindrome (48484).

It can be divided in two parts, 322 and 61, that added together give a palindrome (383).

The spelling of 32261 in words is "thirty-two thousand, two hundred sixty-one".