164700441 has 24 divisors (see below), whose sum is σ = 241113600. Its totient is φ = 108328896.

The previous prime is 164700421. The next prime is 164700451. The reversal of 164700441 is 144007461.

It is not a de Polignac number, because 164700441 - 2⁵ = 164700409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164700421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274660 + ... + 275258.

It is an arithmetic number, because the mean of its divisors is an integer number (10046400).

Almost surely, 2^164700441 is an apocalyptic number.

It is an amenable number.

164700441 is a deficient number, since it is larger than the sum of its proper divisors (76413159).

164700441 is a wasteful number, since it uses less digits than its factorization.

164700441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 164700441 is about 12833.5669632414. The cubic root of 164700441 is about 548.1485302982.

The spelling of 164700441 in words is "one hundred sixty-four million, seven hundred thousand, four hundred forty-one".