132721 has 2 divisors, whose sum is σ = 132722. Its totient is φ = 132720.

The previous prime is 132709. The next prime is 132739. The reversal of 132721 is 127231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 225 = 364^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 132721 - 2⁵ = 132689 is a prime.

It is a super-2 number, since 2×132721² = 35229727682, which contains 22 as substring.

132721 is a lucky number.

It is equal to p₁₂₃₉₁ and since 132721 and 12391 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 132695 and 132704.

It is not a weakly prime, because it can be changed into another prime (132701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66360 + 66361.

It is an arithmetic number, because the mean of its divisors is an integer number (66361).

2¹³²⁷²¹ is an apocalyptic number.

It is an amenable number.

132721 is a deficient number, since it is larger than the sum of its proper divisors (1).

132721 is an equidigital number, since it uses as much as digits as its factorization.

132721 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84, while the sum is 16.

The square root of 132721 is about 364.3089348342. The cubic root of 132721 is about 51.0089693311.

Adding to 132721 its reverse (127231), we get a palindrome (259952).

The spelling of 132721 in words is "one hundred thirty-two thousand, seven hundred twenty-one".