153834409 has 9 divisors (see below), whose sum is σ = 156805047. Its totient is φ = 150919704.

The previous prime is 153834407. The next prime is 153834463. The reversal of 153834409 is 904438351.

153834409 = 1³ + 2³ + ... + 157³.

The square root of 153834409 is 12403.

It is a perfect power (a square), and thus also a powerful number.

153834409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45091225 + 108743184 = 6715^2 + 10428^2 .

It is not a de Polignac number, because 153834409 - 2¹ = 153834407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153834407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 979759 + ... + 979915.

It is an arithmetic number, because the mean of its divisors is an integer number (17422783).

Almost surely, 2^153834409 is an apocalyptic number.

153834409 is the 12403-rd square number.

153834409 is the 6202-nd centered octagonal number.

It is an amenable number.

153834409 is a deficient number, since it is larger than the sum of its proper divisors (2970638).

153834409 is an frugal number, since it uses more digits than its factorization.

153834409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The cubic root of 153834409 is about 535.8186540765.

The spelling of 153834409 in words is "one hundred fifty-three million, eight hundred thirty-four thousand, four hundred nine".