164624553 has 24 divisors (see below), whose sum is σ = 245885640. Its totient is φ = 106064640.

The previous prime is 164624533. The next prime is 164624557. The reversal of 164624553 is 355426461.

164624553 is a `hidden beast` number, since 1 + 646 + 2 + 4 + 5 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4652649 + 159971904 = 2157^2 + 12648^2 .

It is not a de Polignac number, because 164624553 - 2⁶ = 164624489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164624557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38175 + ... + 42267.

It is an arithmetic number, because the mean of its divisors is an integer number (10245235).

Almost surely, 2^164624553 is an apocalyptic number.

It is an amenable number.

164624553 is a deficient number, since it is larger than the sum of its proper divisors (81261087).

164624553 is a wasteful number, since it uses less digits than its factorization.

164624553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4246 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 164624553 is about 12830.6100010872. The cubic root of 164624553 is about 548.0643283657.

The spelling of 164624553 in words is "one hundred sixty-four million, six hundred twenty-four thousand, five hundred fifty-three".