164000785 has 32 divisors (see below), whose sum is σ = 225862560. Its totient is φ = 113246208.

The previous prime is 164000783. The next prime is 164000789. The reversal of 164000785 is 587000461.

It can be written as a sum of positive squares in 16 ways, for example, as 68293696 + 95707089 = 8264^2 + 9783^2 .

It is a 6-Lehmer number, since φ(164000785) divides (164000785-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 164000785 - 2¹ = 164000783 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164000783) 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, 212881 + ... + 213649.

It is an arithmetic number, because the mean of its divisors is an integer number (7058205).

Almost surely, 2^164000785 is an apocalyptic number.

It is an amenable number.

164000785 is a deficient number, since it is larger than the sum of its proper divisors (61861775).

164000785 is a wasteful number, since it uses less digits than its factorization.

164000785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 164000785 is about 12806.2791239298. The cubic root of 164000785 is about 547.3712408234.

The spelling of 164000785 in words is "one hundred sixty-four million, seven hundred eighty-five", and thus it is an aban number.