164006735 has 32 divisors (see below), whose sum is σ = 216628992. Its totient is φ = 118702080.

The previous prime is 164006693. The next prime is 164006737. The reversal of 164006735 is 537600461.

It is not a de Polignac number, because 164006735 - 2¹⁰ = 164005711 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164006737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243359 + ... + 244031.

It is an arithmetic number, because the mean of its divisors is an integer number (6769656).

Almost surely, 2^164006735 is an apocalyptic number.

164006735 is a deficient number, since it is larger than the sum of its proper divisors (52622257).

164006735 is a wasteful number, since it uses less digits than its factorization.

164006735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 164006735 is about 12806.5114297376. The cubic root of 164006735 is about 547.3778603436.

The spelling of 164006735 in words is "one hundred sixty-four million, six thousand, seven hundred thirty-five".