164977 has 6 divisors (see below), whose sum is σ = 174498. Its totient is φ = 155952.

The previous prime is 164963. The next prime is 164987. The reversal of 164977 is 779461.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 5776 = 399^2 + 76^2 .

It is a de Polignac number, because none of the positive numbers 2^k-164977 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133 + ... + 589.

It is an arithmetic number, because the mean of its divisors is an integer number (29083).

2¹⁶⁴⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

164977 is a deficient number, since it is larger than the sum of its proper divisors (9521).

164977 is an equidigital number, since it uses as much as digits as its factorization.

164977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 476 counting only the distinct ones).

The product of its digits is 10584, while the sum is 34.

The square root of 164977 is about 406.1736082022. The cubic root of 164977 is about 54.8455169099.

Adding to 164977 its product of digits (10584), we get a square (175561 = 419²).

The spelling of 164977 in words is "one hundred sixty-four thousand, nine hundred seventy-seven".