164577421 has 2 divisors, whose sum is σ = 164577422. Its totient is φ = 164577420.

The previous prime is 164577389. The next prime is 164577431. The reversal of 164577421 is 124775461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112593321 + 51984100 = 10611^2 + 7210^2 .

It is a cyclic number.

It is not a de Polignac number, because 164577421 - 2⁵ = 164577389 is a prime.

It is a super-3 number, since 3×164577421³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164577431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82288710 + 82288711.

It is an arithmetic number, because the mean of its divisors is an integer number (82288711).

Almost surely, 2^164577421 is an apocalyptic number.

It is an amenable number.

164577421 is a deficient number, since it is larger than the sum of its proper divisors (1).

164577421 is an equidigital number, since it uses as much as digits as its factorization.

164577421 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 47040, while the sum is 37.

The square root of 164577421 is about 12828.7731681560. The cubic root of 164577421 is about 548.0120197783.

The spelling of 164577421 in words is "one hundred sixty-four million, five hundred seventy-seven thousand, four hundred twenty-one".