2137000 has 32 divisors (see below), whose sum is σ = 5002920. Its totient is φ = 854400.

The previous prime is 2136997. The next prime is 2137021. The reversal of 2137000 is 7312.

It can be written as a sum of positive squares in 4 ways, for example, as 171396 + 1965604 = 414^2 + 1402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 2068.

2^2137000 is an apocalyptic number.

2137000 is a gapful number since it is divisible by the number (20) 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 2137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501460).

2137000 is an abundant number, since it is smaller than the sum of its proper divisors (2865920).

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

2137000 is a wasteful number, since it uses less digits than its factorization.

2137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 2137000 is about 1461.8481453284. The cubic root of 2137000 is about 128.8056283949.

The spelling of 2137000 in words is "two million, one hundred thirty-seven thousand".