153984321 has 20 divisors (see below), whose sum is σ = 230506452. Its totient is φ = 102441888.

The previous prime is 153984293. The next prime is 153984349. The reversal of 153984321 is 123489351.

It is an interprime number because it is at equal distance from previous prime (153984293) and next prime (153984349).

It can be written as a sum of positive squares in 2 ways, for example, as 81649296 + 72335025 = 9036^2 + 8505^2 .

It is not a de Polignac number, because 153984321 - 2¹¹ = 153982273 is a prime.

It is a super-2 number, since 2×153984321² = 47422342227662082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153984371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43411 + ... + 46823.

Almost surely, 2^153984321 is an apocalyptic number.

It is an amenable number.

153984321 is a deficient number, since it is larger than the sum of its proper divisors (76522131).

153984321 is an equidigital number, since it uses as much as digits as its factorization.

153984321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3973 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 153984321 is about 12409.0419049981. The cubic root of 153984321 is about 535.9926497563.

The spelling of 153984321 in words is "one hundred fifty-three million, nine hundred eighty-four thousand, three hundred twenty-one".