164972141 has 2 divisors, whose sum is σ = 164972142. Its totient is φ = 164972140.

The previous prime is 164972107. The next prime is 164972147. The reversal of 164972141 is 141279461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119355625 + 45616516 = 10925^2 + 6754^2 .

It is a cyclic number.

It is not a de Polignac number, because 164972141 - 2¹⁴ = 164955757 is a prime.

It is a super-2 number, since 2×164972141² = 54431614612247762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164972147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82486070 + 82486071.

It is an arithmetic number, because the mean of its divisors is an integer number (82486071).

Almost surely, 2^164972141 is an apocalyptic number.

It is an amenable number.

164972141 is a deficient number, since it is larger than the sum of its proper divisors (1).

164972141 is an equidigital number, since it uses as much as digits as its factorization.

164972141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 35.

The square root of 164972141 is about 12844.1481227834. The cubic root of 164972141 is about 548.4497845713.

The spelling of 164972141 in words is "one hundred sixty-four million, nine hundred seventy-two thousand, one hundred forty-one".