132821 has 8 divisors (see below), whose sum is σ = 151704. Its totient is φ = 115200.

The previous prime is 132817. The next prime is 132833. The reversal of 132821 is 128231.

It can be written as a sum of positive squares in 4 ways, for example, as 34225 + 98596 = 185^2 + 314^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132821 - 2² = 132817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (18963).

2¹³²⁸²¹ is an apocalyptic number.

It is an amenable number.

132821 is a deficient number, since it is larger than the sum of its proper divisors (18883).

132821 is a wasteful number, since it uses less digits than its factorization.

132821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631.

The product of its digits is 96, while the sum is 17.

The square root of 132821 is about 364.4461551450. The cubic root of 132821 is about 51.0217771921.

The spelling of 132821 in words is "one hundred thirty-two thousand, eight hundred twenty-one".