164056257 has 12 divisors (see below), whose sum is σ = 237209700. Its totient is φ = 109260288.

The previous prime is 164056231. The next prime is 164056259. The reversal of 164056257 is 752650461.

It is a happy number.

164056257 is a `hidden beast` number, since 1 + 6 + 40 + 562 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76895361 + 87160896 = 8769^2 + 9336^2 .

It is not a de Polignac number, because 164056257 - 2¹⁴ = 164039873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164056259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753 + ... + 18129.

It is an arithmetic number, because the mean of its divisors is an integer number (19767475).

Almost surely, 2^164056257 is an apocalyptic number.

It is an amenable number.

164056257 is a deficient number, since it is larger than the sum of its proper divisors (73153443).

164056257 is a wasteful number, since it uses less digits than its factorization.

164056257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18432 (or 18429 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 164056257 is about 12808.4447533649. Note that the first 3 decimals coincide. The cubic root of 164056257 is about 547.4329485660.

The spelling of 164056257 in words is "one hundred sixty-four million, fifty-six thousand, two hundred fifty-seven".