Search a number
-
+
3997917 = 34711641
BaseRepresentation
bin1111010000000011011101
321112010010000
433100003131
52010413132
6221404513
745660510
oct17200335
97463100
103997917
112290770
121409739
13a9c941
14760d77
1553e87c
hex3d00dd

3997917 has 40 divisors (see below), whose sum is σ = 7457472. Its totient is φ = 2073600.

The previous prime is 3997909. The next prime is 3997919. The reversal of 3997917 is 7197993.

3997917 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 3997917 - 23 = 3997909 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3997919) 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 39 ways as a sum of consecutive naturals, for example, 5917 + ... + 6557.

Almost surely, 23997917 is an apocalyptic number.

It is an amenable number.

3997917 is a deficient number, since it is larger than the sum of its proper divisors (3459555).

3997917 is a wasteful number, since it uses less digits than its factorization.

3997917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 662 counting only the distinct ones).

The product of its digits is 107163, while the sum is 45.

The square root of 3997917 is about 1999.4791821872. The cubic root of 3997917 is about 158.7125457758.

The spelling of 3997917 in words is "three million, nine hundred ninety-seven thousand, nine hundred seventeen".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 641 693 891 1923 2079 4487 5769 6237 7051 13461 17307 21153 40383 49357 51921 63459 121149 148071 190377 363447 444213 571131 1332639 3997917