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212007 = 3174157
BaseRepresentation
bin110011110000100111
3101202211010
4303300213
523241012
64313303
71542045
oct636047
9352733
10212007
11135314
12a2833
1375663
1457395
1542c3c
hex33c27

212007 has 8 divisors (see below), whose sum is σ = 299376. Its totient is φ = 132992.

The previous prime is 211997. The next prime is 212029. The reversal of 212007 is 700212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212007 - 26 = 211943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211983 and 212001.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212007.

It is not an unprimeable number, because it can be changed into a prime (212057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2028 + ... + 2129.

It is an arithmetic number, because the mean of its divisors is an integer number (37422).

2212007 is an apocalyptic number.

212007 is a deficient number, since it is larger than the sum of its proper divisors (87369).

212007 is a wasteful number, since it uses less digits than its factorization.

212007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 212007 is about 460.4421787804. The cubic root of 212007 is about 59.6279758457.

Adding to 212007 its reverse (700212), we get a palindrome (912219).

The spelling of 212007 in words is "two hundred twelve thousand, seven", and thus it is an iban number.

Divisors: 1 3 17 51 4157 12471 70669 212007