387223353 has 36 divisors (see below), whose sum is σ = 626485860. Its totient is φ = 230218560.

The previous prime is 387223349. The next prime is 387223357. The reversal of 387223353 is 353322783.

387223353 is a `hidden beast` number, since 3 + 87 + 223 + 353 = 666.

It is an interprime number because it is at equal distance from previous prime (387223349) and next prime (387223357).

It can be written as a sum of positive squares in 2 ways, for example, as 267911424 + 119311929 = 16368^2 + 10923^2 .

It is not a de Polignac number, because 387223353 - 2² = 387223349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (387223357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54363 + ... + 61071.

It is an arithmetic number, because the mean of its divisors is an integer number (17402385).

Almost surely, 2^387223353 is an apocalyptic number.

387223353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

387223353 is a deficient number, since it is larger than the sum of its proper divisors (239262507).

387223353 is a wasteful number, since it uses less digits than its factorization.

387223353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6776 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 387223353 is about 19677.9915895906. The cubic root of 387223353 is about 728.8763303004.

It can be divided in two parts, 3872 and 23353, that added together give a square (27225 = 165²).

The spelling of 387223353 in words is "three hundred eighty-seven million, two hundred twenty-three thousand, three hundred fifty-three".