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95121 = 3313271
BaseRepresentation
bin10111001110010001
311211111000
4113032101
511020441
62012213
7544215
oct271621
9154430
1095121
1165514
1247069
13343b0
1426945
151d2b6
hex17391

95121 has 16 divisors (see below), whose sum is σ = 152320. Its totient is φ = 58320.

The previous prime is 95111. The next prime is 95131. The reversal of 95121 is 12159.

It is an interprime number because it is at equal distance from previous prime (95111) and next prime (95131).

It is not a de Polignac number, because 95121 - 25 = 95089 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 95094 and 95103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95121.

It is not an unprimeable number, because it can be changed into a prime (95101) by changing a digit.

It is a Kaprekar number, because its square (9048004641) can be partitioned into two parts whose sum is 95121.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (9520).

295121 is an apocalyptic number.

It is an amenable number.

95121 is a deficient number, since it is larger than the sum of its proper divisors (57199).

95121 is a wasteful number, since it uses less digits than its factorization.

95121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 95121 is about 308.4169256056. The cubic root of 95121 is about 45.6483904584.

It can be divided in two parts, 95 and 121, that added together give a cube (216 = 63).

The spelling of 95121 in words is "ninety-five thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 271 351 813 2439 3523 7317 10569 31707 95121