2137512 has 96 divisors (see below), whose sum is σ = 6324480. Its totient is φ = 599040.

The previous prime is 2137507. The next prime is 2137517. The reversal of 2137512 is 2157312.

It is an interprime number because it is at equal distance from previous prime (2137507) and next prime (2137517).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2137517) 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, 68937 + ... + 68967.

It is an arithmetic number, because the mean of its divisors is an integer number (65880).

2^2137512 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 2137512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162240).

2137512 is an abundant number, since it is smaller than the sum of its proper divisors (4186968).

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

2137512 is a wasteful number, since it uses less digits than its factorization.

2137512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 2137512 is about 1462.0232556290. The cubic root of 2137512 is about 128.8159143434.

The spelling of 2137512 in words is "two million, one hundred thirty-seven thousand, five hundred twelve".