12937000 has 64 divisors (see below), whose sum is σ = 32095440. Its totient is φ = 4864000.

The previous prime is 12936997. The next prime is 12937007. The reversal of 12937000 is 73921.

It can be written as a sum of positive squares in 8 ways, for example, as 20164 + 12916836 = 142^2 + 3594^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12937007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16620 + ... + 17380.

Almost surely, 2^12937000 is an apocalyptic number.

12937000 is a gapful number since it is divisible by the number (10) 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 12937000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047720).

12937000 is an abundant number, since it is smaller than the sum of its proper divisors (19158440).

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

12937000 is a wasteful number, since it uses less digits than its factorization.

12937000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 12937000 is about 3596.8041370083. The cubic root of 12937000 is about 234.7530225536.

The spelling of 12937000 in words is "twelve million, nine hundred thirty-seven thousand".