11830338 has 36 divisors (see below), whose sum is σ = 27762930. Its totient is φ = 3639168.

The previous prime is 11830337. The next prime is 11830339. The reversal of 11830338 is 83303811.

It is an interprime number because it is at equal distance from previous prime (11830337) and next prime (11830339).

It can be written as a sum of positive squares in 3 ways, for example, as 7306209 + 4524129 = 2703^2 + 2127^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11830337) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1098 + ... + 4986.

Almost surely, 2^11830338 is an apocalyptic number.

11830338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11830338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13881465).

11830338 is an abundant number, since it is smaller than the sum of its proper divisors (15932592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11830338 is a wasteful number, since it uses less digits than its factorization.

11830338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11830338 is about 3439.5258394145. The cubic root of 11830338 is about 227.8587536977.

It can be divided in two parts, 118303 and 38, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 11830338 in words is "eleven million, eight hundred thirty thousand, three hundred thirty-eight".