164910961 has 8 divisors (see below), whose sum is σ = 171117800. Its totient is φ = 158796288.

The previous prime is 164910947. The next prime is 164910971. The reversal of 164910961 is 169019461.

164910961 = 9080² + 9081².

It can be written as a sum of positive squares in 4 ways, for example, as 82464561 + 82446400 = 9081^2 + 9080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164910961 - 2⁵ = 164910929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164910961.

It is not an unprimeable number, because it can be changed into a prime (164910971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19386 + ... + 26563.

It is an arithmetic number, because the mean of its divisors is an integer number (21389725).

Almost surely, 2^164910961 is an apocalyptic number.

164910961 is the 9081-st centered square number.

It is an amenable number.

164910961 is a deficient number, since it is larger than the sum of its proper divisors (6206839).

164910961 is an equidigital number, since it uses as much as digits as its factorization.

164910961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46083.

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 164910961 is about 12841.7662725966. The cubic root of 164910961 is about 548.3819785641.

The spelling of 164910961 in words is "one hundred sixty-four million, nine hundred ten thousand, nine hundred sixty-one".