11977875 has 120 divisors (see below), whose sum is σ = 27634464. Its totient is φ = 5054400.

The previous prime is 11977859. The next prime is 11977879. The reversal of 11977875 is 57877911.

It is a happy number.

11977875 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11977875 - 2⁴ = 11977859 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (123480) is a multiple of the sum of its prime divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11977875.

It is not an unprimeable number, because it can be changed into a prime (11977879) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 921369 + ... + 921381.

Almost surely, 2^11977875 is an apocalyptic number.

11977875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11977875 is an abundant number, since it is smaller than the sum of its proper divisors (15656589).

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

11977875 is an equidigital number, since it uses as much as digits as its factorization.

11977875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its digits is 123480, while the sum is 45.

The square root of 11977875 is about 3460.9066731133. The cubic root of 11977875 is about 228.8020574884.

The spelling of 11977875 in words is "eleven million, nine hundred seventy-seven thousand, eight hundred seventy-five".