164414961 has 32 divisors (see below), whose sum is σ = 262684800. Its totient is φ = 101295360.

The previous prime is 164414927. The next prime is 164414981. The reversal of 164414961 is 169414461.

164414961 is a `hidden beast` number, since 1 + 644 + 1 + 4 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 164414961 - 2¹⁰ = 164413937 is a prime.

It is a super-3 number, since 3×164414961³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164414981) 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, 17125 + ... + 24941.

It is an arithmetic number, because the mean of its divisors is an integer number (8208900).

Almost surely, 2^164414961 is an apocalyptic number.

It is an amenable number.

164414961 is a deficient number, since it is larger than the sum of its proper divisors (98269839).

164414961 is a wasteful number, since it uses less digits than its factorization.

164414961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7880 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 164414961 is about 12822.4397444480. The cubic root of 164414961 is about 547.8316399442.

The spelling of 164414961 in words is "one hundred sixty-four million, four hundred fourteen thousand, nine hundred sixty-one".