132921 has 12 divisors (see below), whose sum is σ = 199472. Its totient is φ = 88452.

The previous prime is 132911. The next prime is 132929. The reversal of 132921 is 129231.

132921 = 40³ + 41³.

It is a happy number.

132921 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 132921 - 2⁶ = 132857 is a prime.

It is a Duffinian number.

132921 is strictly pandigital in base 7.

132921 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 132894 and 132903.

It is not an unprimeable number, because it can be changed into a prime (132929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31 + ... + 516.

2¹³²⁹²¹ is an apocalyptic number.

It is an amenable number.

132921 is a deficient number, since it is larger than the sum of its proper divisors (66551).

132921 is an frugal number, since it uses more digits than its factorization.

132921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 132921 is about 364.5833238095. The cubic root of 132921 is about 51.0345786261.

Multiplying 132921 by its sum of digits (18), we get a triangular number (2392578 = T₂₁₈₇).

It can be divided in two parts, 13 and 2921, that multiplied together give a palindrome (37973).

The spelling of 132921 in words is "one hundred thirty-two thousand, nine hundred twenty-one".