153382993 has 12 divisors (see below), whose sum is σ = 163624860. Its totient is φ = 143750912.

The previous prime is 153382979. The next prime is 153383017. The reversal of 153382993 is 399283351.

It can be written as a sum of positive squares in 6 ways, for example, as 2166784 + 151216209 = 1472^2 + 12297^2 .

It is not a de Polignac number, because 153382993 - 2⁵ = 153382961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153382903) 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, 76755 + ... + 78727.

It is an arithmetic number, because the mean of its divisors is an integer number (13635405).

Almost surely, 2^153382993 is an apocalyptic number.

It is an amenable number.

153382993 is a deficient number, since it is larger than the sum of its proper divisors (10241867).

153382993 is a wasteful number, since it uses less digits than its factorization.

153382993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2259 counting only the distinct ones).

The product of its digits is 174960, while the sum is 43.

The square root of 153382993 is about 12384.7887749449. The cubic root of 153382993 is about 535.2940334972.

The spelling of 153382993 in words is "one hundred fifty-three million, three hundred eighty-two thousand, nine hundred ninety-three".