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83457 = 3311281
BaseRepresentation
bin10100011000000001
311020111000
4110120001
510132312
61442213
7465213
oct243001
9136430
1083457
1157780
1240369
132bcaa
14225b3
1519adc
hex14601

83457 has 16 divisors (see below), whose sum is σ = 135360. Its totient is φ = 50400.

The previous prime is 83449. The next prime is 83459. The reversal of 83457 is 75438.

It is not a de Polignac number, because 83457 - 23 = 83449 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83457.

It is not an unprimeable number, because it can be changed into a prime (83459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (8460).

It is a Proth number, since it is equal to 163 ⋅ 29 + 1 and 163 < 29.

283457 is an apocalyptic number.

It is an amenable number.

83457 is a deficient number, since it is larger than the sum of its proper divisors (51903).

83457 is a wasteful number, since it uses less digits than its factorization.

83457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

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

The square root of 83457 is about 288.8892521365. The cubic root of 83457 is about 43.7006191144.

The spelling of 83457 in words is "eighty-three thousand, four hundred fifty-seven".

Divisors: 1 3 9 11 27 33 99 281 297 843 2529 3091 7587 9273 27819 83457