11749815 has 48 divisors (see below), whose sum is σ = 25399296. Its totient is φ = 4881600.

The previous prime is 11749813. The next prime is 11749817. The reversal of 11749815 is 51894711.

11749815 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11749813) and next prime (11749817).

It is not a de Polignac number, because 11749815 - 2¹ = 11749813 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11749815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11749813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1770 + ... + 5160.

It is an arithmetic number, because the mean of its divisors is an integer number (529152).

Almost surely, 2^11749815 is an apocalyptic number.

11749815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11749815 is an abundant number, since it is smaller than the sum of its proper divisors (13649481).

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

11749815 is a wasteful number, since it uses less digits than its factorization.

11749815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3417 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 11749815 is about 3427.8003150709. The cubic root of 11749815 is about 227.3406040412.

Subtracting 11749815 from its reverse (51894711), we obtain a square (40144896 = 6336²).

The spelling of 11749815 in words is "eleven million, seven hundred forty-nine thousand, eight hundred fifteen".