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16164161 = 131773141
BaseRepresentation
bin111101101010…
…010101000001
31010102020001122
4331222111001
513114223121
61334242025
7254251556
oct75522501
933366048
1016164161
119140412
1254b6315
13346c4c0
14220aa2d
1516445ab
hexf6a541

16164161 has 8 divisors (see below), whose sum is σ = 18431784. Its totient is φ = 14042880.

The previous prime is 16164151. The next prime is 16164191. The reversal of 16164161 is 16146161.

16164161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4227136 + 11937025 = 2056^2 + 3455^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 16164161 - 210 = 16163137 is a prime.

It is a super-2 number, since 2×161641612 = 522560201667842, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16164161.

It is not an unprimeable number, because it can be changed into a prime (16164121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36350 + ... + 36791.

It is an arithmetic number, because the mean of its divisors is an integer number (2303973).

Almost surely, 216164161 is an apocalyptic number.

It is an amenable number.

16164161 is a deficient number, since it is larger than the sum of its proper divisors (2267623).

16164161 is a wasteful number, since it uses less digits than its factorization.

16164161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73171.

The product of its digits is 864, while the sum is 26.

The square root of 16164161 is about 4020.4677588559. The cubic root of 16164161 is about 252.8430705687.

The spelling of 16164161 in words is "sixteen million, one hundred sixty-four thousand, one hundred sixty-one".

Divisors: 1 13 17 221 73141 950833 1243397 16164161