164360261 has 16 divisors (see below), whose sum is σ = 181666800. Its totient is φ = 147763200.

The previous prime is 164360249. The next prime is 164360299. The reversal of 164360261 is 162063461.

It is a happy number.

164360261 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 8 ways, for example, as 776161 + 163584100 = 881^2 + 12790^2 .

It is not a de Polignac number, because 164360261 - 2¹⁴ = 164343877 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164360221) 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, 101861 + ... + 103461.

It is an arithmetic number, because the mean of its divisors is an integer number (11354175).

Almost surely, 2^164360261 is an apocalyptic number.

It is an amenable number.

164360261 is a deficient number, since it is larger than the sum of its proper divisors (17306539).

164360261 is a wasteful number, since it uses less digits than its factorization.

164360261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 164360261 is about 12820.3065875977. The cubic root of 164360261 is about 547.7708796290.

The spelling of 164360261 in words is "one hundred sixty-four million, three hundred sixty thousand, two hundred sixty-one".