164961 has 6 divisors (see below), whose sum is σ = 238290. Its totient is φ = 109968.

The previous prime is 164953. The next prime is 164963. The reversal of 164961 is 169461.

It can be written as a sum of positive squares in only one way, i.e., 140625 + 24336 = 375^2 + 156^2 .

It is not a de Polignac number, because 164961 - 2³ = 164953 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164961.

It is not an unprimeable number, because it can be changed into a prime (164963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9156 + ... + 9173.

It is an arithmetic number, because the mean of its divisors is an integer number (39715).

2¹⁶⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

164961 is a deficient number, since it is larger than the sum of its proper divisors (73329).

164961 is a wasteful number, since it uses less digits than its factorization.

164961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18335 (or 18332 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 164961 is about 406.1539117133. The cubic root of 164961 is about 54.8437438211.

The spelling of 164961 in words is "one hundred sixty-four thousand, nine hundred sixty-one".