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213265 = 51317193
BaseRepresentation
bin110100000100010001
3101211112201
4310010101
523311030
64323201
71545523
oct640421
9354481
10213265
11136258
12a3501
13760c0
1457a13
15432ca
hex34111

213265 has 16 divisors (see below), whose sum is σ = 293328. Its totient is φ = 147456.

The previous prime is 213263. The next prime is 213281. The reversal of 213265 is 562312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13456 + 199809 = 116^2 + 447^2 .

It is a 4-Lehmer number, since φ(213265) divides (213265-1)4.

It is a cyclic number.

It is not a de Polignac number, because 213265 - 21 = 213263 is a prime.

It is a d-powerful number, because it can be written as 23 + 1 + 215 + 311 + 63 + 55 .

It is a Duffinian number.

213265 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (18333).

2213265 is an apocalyptic number.

It is an amenable number.

213265 is a deficient number, since it is larger than the sum of its proper divisors (80063).

213265 is a wasteful number, since it uses less digits than its factorization.

213265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228.

The product of its digits is 360, while the sum is 19.

The square root of 213265 is about 461.8062364239. The cubic root of 213265 is about 59.7456828285.

Adding to 213265 its reverse (562312), we get a palindrome (775577).

It can be divided in two parts, 2132 and 65, that added together give a cube (2197 = 133).

The spelling of 213265 in words is "two hundred thirteen thousand, two hundred sixty-five".

Divisors: 1 5 13 17 65 85 193 221 965 1105 2509 3281 12545 16405 42653 213265