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2137331 = 7253823
BaseRepresentation
bin1000001001110011110011
311000120212102
420021303303
51021343311
6113451015
724111200
oct10116363
94016772
102137331
11122a899
12870a6b
1359aac1
143d8ca7
152c343b
hex209cf3

2137331 has 12 divisors (see below), whose sum is σ = 2536272. Its totient is φ = 1795248.

The previous prime is 2137327. The next prime is 2137339. The reversal of 2137331 is 1337312.

It is a happy number.

2137331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2137331 - 22 = 2137327 is a prime.

It is a super-2 number, since 2×21373312 = 9136367607122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2137339) 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 11 ways as a sum of consecutive naturals, for example, 2186 + ... + 3008.

It is an arithmetic number, because the mean of its divisors is an integer number (211356).

22137331 is an apocalyptic number.

2137331 is a deficient number, since it is larger than the sum of its proper divisors (398941).

2137331 is an equidigital number, since it uses as much as digits as its factorization.

2137331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 883 counting only the distinct ones).

The product of its digits is 378, while the sum is 20.

The square root of 2137331 is about 1461.9613537984. The cubic root of 2137331 is about 128.8122782876.

The spelling of 2137331 in words is "two million, one hundred thirty-seven thousand, three hundred thirty-one".

Divisors: 1 7 49 53 371 823 2597 5761 40327 43619 305333 2137331