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213807 = 31121931
BaseRepresentation
bin110100001100101111
3101212021210
4310030233
523320212
64325503
71550226
oct641457
9355253
10213807
11136700
12a3893
1376419
1457cbd
154353c
hex3432f

213807 has 24 divisors (see below), whose sum is σ = 340480. Its totient is φ = 118800.

The previous prime is 213799. The next prime is 213821. The reversal of 213807 is 708312.

It is not a de Polignac number, because 213807 - 23 = 213799 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

213807 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6882 + ... + 6912.

2213807 is an apocalyptic number.

213807 is a deficient number, since it is larger than the sum of its proper divisors (126673).

213807 is a wasteful number, since it uses less digits than its factorization.

213807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 213807 is about 462.3926902536. The cubic root of 213807 is about 59.7962533493.

It can be divided in two parts, 21 and 3807, that added together give a triangular number (3828 = T87).

The spelling of 213807 in words is "two hundred thirteen thousand, eight hundred seven".

Divisors: 1 3 11 19 31 33 57 93 121 209 341 363 589 627 1023 1767 2299 3751 6479 6897 11253 19437 71269 213807