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83417997 = 31317472677
BaseRepresentation
bin1001111100011…
…01101110001101
312210222001222110
410332031232031
5132323333442
612135534233
72032020105
oct476155615
9183861873
1083417997
11430a61a3
1223b2a379
1314389080
14b116205
1574cb69c
hex4f8db8d

83417997 has 32 divisors (see below), whose sum is σ = 129572352. Its totient is φ = 47268864.

The previous prime is 83417981. The next prime is 83418011. The reversal of 83417997 is 79971438.

It is not a de Polignac number, because 83417997 - 24 = 83417981 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83417197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29823 + ... + 32499.

It is an arithmetic number, because the mean of its divisors is an integer number (4049136).

Almost surely, 283417997 is an apocalyptic number.

It is an amenable number.

83417997 is a deficient number, since it is larger than the sum of its proper divisors (46154355).

83417997 is a wasteful number, since it uses less digits than its factorization.

83417997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757.

The product of its digits is 381024, while the sum is 48.

The square root of 83417997 is about 9133.3453345420. The cubic root of 83417997 is about 436.9381033528.

The spelling of 83417997 in words is "eighty-three million, four hundred seventeen thousand, nine hundred ninety-seven".

Divisors: 1 3 13 17 39 47 51 141 221 611 663 799 1833 2397 2677 8031 10387 31161 34801 45509 104403 125819 136527 377457 591617 1635647 1774851 2138923 4906941 6416769 27805999 83417997