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2085237 = 337111759
BaseRepresentation
bin111111101000101110101
310220221102000
413331011311
51013211422
6112405513
723503260
oct7750565
93827360
102085237
1111a4740
12846899
1358018b
143c3cd7
152b2cac
hex1fd175

2085237 has 64 divisors (see below), whose sum is σ = 4147200. Its totient is φ = 1002240.

The previous prime is 2085233. The next prime is 2085247. The reversal of 2085237 is 7325802.

It is not a de Polignac number, because 2085237 - 22 = 2085233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 29 + 0 + 83 + 59 + 217 + 32 + 7 .

It is a self number, because there is not a number n which added to its sum of digits gives 2085237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35314 + ... + 35372.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

22085237 is an apocalyptic number.

2085237 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2085237 is a deficient number, since it is larger than the sum of its proper divisors (2061963).

2085237 is a wasteful number, since it uses less digits than its factorization.

2085237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2085237 is about 1444.0349718757. The cubic root of 2085237 is about 127.7571281621.

It can be divided in two parts, 208 and 5237, that added together give a palindrome (5445).

The spelling of 2085237 in words is "two million, eighty-five thousand, two hundred thirty-seven".

Divisors: 1 3 7 9 11 17 21 27 33 51 59 63 77 99 119 153 177 187 189 231 297 357 413 459 531 561 649 693 1003 1071 1239 1309 1593 1683 1947 2079 3009 3213 3717 3927 4543 5049 5841 7021 9027 11033 11151 11781 13629 17523 21063 27081 33099 35343 40887 63189 77231 99297 122661 189567 231693 297891 695079 2085237