Search a number
164351 = 1167223
BaseRepresentation
bin101000000111111111
322100110002
4220013333
520224401
63304515
71253105
oct500777
9270402
10164351
11102530
127b13b
1359a65
1443c75
1533a6b
hex281ff

164351 has 8 divisors (see below), whose sum is σ = 182784. Its totient is φ = 146520.

The previous prime is 164341. The next prime is 164357. The reversal of 164351 is 153461.

It can be divided in two parts, 164 and 351, that added together give a palindrome (515).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164351 - 210 = 163327 is a prime.

It is a super-2 number, since 2×1643512 = 54022502402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164357) 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 7 ways as a sum of consecutive naturals, for example, 626 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (22848).

2164351 is an apocalyptic number.

164351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

164351 is a deficient number, since it is larger than the sum of its proper divisors (18433).

164351 is a wasteful number, since it uses less digits than its factorization.

164351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301.

The product of its digits is 360, while the sum is 20.

The square root of 164351 is about 405.4022693572. The cubic root of 164351 is about 54.7760591251.

The spelling of 164351 in words is "one hundred sixty-four thousand, three hundred fifty-one".

Divisors: 1 11 67 223 737 2453 14941 164351