2137716 has 72 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 573696.

The previous prime is 2137697. The next prime is 2137717. The reversal of 2137716 is 6177312.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2137716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4035 + ... + 4533.

It is an arithmetic number, because the mean of its divisors is an integer number (91000).

2^2137716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2137716 is an abundant number, since it is smaller than the sum of its proper divisors (4414284).

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

2137716 is a wasteful number, since it uses less digits than its factorization.

2137716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 528 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 2137716 is about 1462.0930202966. The cubic root of 2137716 is about 128.8200121934.

The spelling of 2137716 in words is "two million, one hundred thirty-seven thousand, seven hundred sixteen".