32121409 has 12 divisors (see below), whose sum is σ = 34420932. Its totient is φ = 29955200.

The previous prime is 32121403. The next prime is 32121413. The reversal of 32121409 is 90412123.

It can be written as a sum of positive squares in 2 ways, for example, as 6517809 + 25603600 = 2553^2 + 5060^2 .

It is not a de Polignac number, because 32121409 - 2⁵ = 32121377 is a prime.

It is a super-2 number, since 2×32121409² = 2063569832290562, which contains 22 as substring.

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 32121409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32121403) 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, 20949 + ... + 22429.

It is an arithmetic number, because the mean of its divisors is an integer number (2868411).

Almost surely, 2^32121409 is an apocalyptic number.

It is an amenable number.

32121409 is a deficient number, since it is larger than the sum of its proper divisors (2299523).

32121409 is a wasteful number, since it uses less digits than its factorization.

32121409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 32121409 is about 5667.5752310843. The cubic root of 32121409 is about 317.8812136273.

The spelling of 32121409 in words is "thirty-two million, one hundred twenty-one thousand, four hundred nine".