164056953 has 16 divisors (see below), whose sum is σ = 241681536. Its totient is φ = 98461440.

The previous prime is 164056951. The next prime is 164056957. The reversal of 164056953 is 359650461.

It is not a de Polignac number, because 164056953 - 2¹ = 164056951 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164056951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68758 + ... + 71103.

It is an arithmetic number, because the mean of its divisors is an integer number (15105096).

Almost surely, 2^164056953 is an apocalyptic number.

It is an amenable number.

164056953 is a deficient number, since it is larger than the sum of its proper divisors (77624583).

164056953 is a wasteful number, since it uses less digits than its factorization.

164056953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139904.

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 164056953 is about 12808.4719229110. The cubic root of 164056953 is about 547.4337227167.

The spelling of 164056953 in words is "one hundred sixty-four million, fifty-six thousand, nine hundred fifty-three".