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923121 = 32109941
BaseRepresentation
bin11100001010111110001
31201220021200
43201113301
5214014441
631441413
710563213
oct3412761
91656250
10923121
11580611
12386269
13264234
141a05b3
151337b6
hexe15f1

923121 has 12 divisors (see below), whose sum is σ = 1347060. Its totient is φ = 609120.

The previous prime is 923107. The next prime is 923123. The reversal of 923121 is 121329.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 608400 + 314721 = 780^2 + 561^2 .

It is not a de Polignac number, because 923121 - 27 = 922993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 923094 and 923103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 923121.

It is not an unprimeable number, because it can be changed into a prime (923123) 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 11 ways as a sum of consecutive naturals, for example, 511 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (112255).

2923121 is an apocalyptic number.

It is an amenable number.

923121 is a deficient number, since it is larger than the sum of its proper divisors (423939).

923121 is a wasteful number, since it uses less digits than its factorization.

923121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1053 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 923121 is about 960.7918609147. The cubic root of 923121 is about 97.3687385532.

The spelling of 923121 in words is "nine hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 109 327 941 981 2823 8469 102569 307707 923121