Search a number
-
+
966339 = 321143227
BaseRepresentation
bin11101011111011000011
31211002120100
43223323003
5221410324
632413443
711133213
oct3537303
91732510
10966339
11600030
123a7283
1327aaca
141b2243
151414c9
hexebec3

966339 has 24 divisors (see below), whose sum is σ = 1564992. Its totient is φ = 569520.

The previous prime is 966337. The next prime is 966347. The reversal of 966339 is 933669.

It is not a de Polignac number, because 966339 - 21 = 966337 is a prime.

It is a super-2 number, since 2×9663392 = 1867622125842, which contains 22 as substring.

966339 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (966337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4144 + ... + 4370.

It is an arithmetic number, because the mean of its divisors is an integer number (65208).

2966339 is an apocalyptic number.

966339 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

966339 is a deficient number, since it is larger than the sum of its proper divisors (598653).

966339 is a wasteful number, since it uses less digits than its factorization.

966339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 284 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 966339 is about 983.0254320210. The cubic root of 966339 is about 98.8651362292.

The spelling of 966339 in words is "nine hundred sixty-six thousand, three hundred thirty-nine".

Divisors: 1 3 9 11 33 43 99 129 227 387 473 681 1419 2043 2497 4257 7491 9761 22473 29283 87849 107371 322113 966339