164084661 has 48 divisors (see below), whose sum is σ = 266063616. Its totient is φ = 96789888.

The previous prime is 164084647. The next prime is 164084671. The reversal of 164084661 is 166480461.

164084661 is a `hidden beast` number, since 1 + 640 + 8 + 4 + 6 + 6 + 1 = 666.

It is not a de Polignac number, because 164084661 - 2⁹ = 164084149 is a prime.

It is a super-3 number, since 3×164084661³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164084671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291166 + ... + 291728.

It is an arithmetic number, because the mean of its divisors is an integer number (5542992).

Almost surely, 2^164084661 is an apocalyptic number.

It is an amenable number.

164084661 is a deficient number, since it is larger than the sum of its proper divisors (101978955).

164084661 is a wasteful number, since it uses less digits than its factorization.

164084661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164084661 is about 12809.5535050992. The cubic root of 164084661 is about 547.4645401442.

The spelling of 164084661 in words is "one hundred sixty-four million, eighty-four thousand, six hundred sixty-one".