382123013 has 8 divisors (see below), whose sum is σ = 396863640. Its totient is φ = 367614720.

The previous prime is 382123009. The next prime is 382123033. The reversal of 382123013 is 310321283.

382123013 = 13822² + 13823².

It can be written as a sum of positive squares in 4 ways, for example, as 191047684 + 191075329 = 13822^2 + 13823^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 382123013 - 2² = 382123009 is a prime.

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 382123013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382123033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54728 + ... + 61313.

It is an arithmetic number, because the mean of its divisors is an integer number (49607955).

Almost surely, 2^382123013 is an apocalyptic number.

382123013 is the 13823-rd centered square number.

It is an amenable number.

382123013 is a deficient number, since it is larger than the sum of its proper divisors (14740627).

382123013 is a wasteful number, since it uses less digits than its factorization.

382123013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116167.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 382123013 is about 19547.9669786912. The cubic root of 382123013 is about 725.6620273961.

Adding to 382123013 its reverse (310321283), we get a palindrome (692444296).

The spelling of 382123013 in words is "three hundred eighty-two million, one hundred twenty-three thousand, thirteen".