164947101 has 16 divisors (see below), whose sum is σ = 240356160. Its totient is φ = 99787520.

The previous prime is 164947061. The next prime is 164947163. The reversal of 164947101 is 101749461.

It is a cyclic number.

It is not a de Polignac number, because 164947101 - 2¹⁵ = 164914333 is a prime.

It is a super-2 number, since 2×164947101² = 54415092256608402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164947201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15355 + ... + 23783.

It is an arithmetic number, because the mean of its divisors is an integer number (15022260).

Almost surely, 2^164947101 is an apocalyptic number.

164947101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164947101 is a deficient number, since it is larger than the sum of its proper divisors (75409059).

164947101 is a wasteful number, since it uses less digits than its factorization.

164947101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9036.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 164947101 is about 12843.1733228202. The cubic root of 164947101 is about 548.4220346789.

The spelling of 164947101 in words is "one hundred sixty-four million, nine hundred forty-seven thousand, one hundred one".