12917772 has 72 divisors (see below), whose sum is σ = 38974320. Its totient is φ = 3689280.

The previous prime is 12917767. The next prime is 12917783. The reversal of 12917772 is 27771921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4072 + ... + 6512.

It is an arithmetic number, because the mean of its divisors is an integer number (541310).

Almost surely, 2^12917772 is an apocalyptic number.

12917772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12917772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19487160).

12917772 is an abundant number, since it is smaller than the sum of its proper divisors (26056548).

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

12917772 is a wasteful number, since it uses less digits than its factorization.

12917772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2453 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 12917772 is about 3594.1302146695. The cubic root of 12917772 is about 234.6366620054.

It can be divided in two parts, 12917 and 772, that added together give a square (13689 = 117²).

The spelling of 12917772 in words is "twelve million, nine hundred seventeen thousand, seven hundred seventy-two".