164727461 has 2 divisors, whose sum is σ = 164727462. Its totient is φ = 164727460.

The previous prime is 164727457. The next prime is 164727481.

It is a happy number.

164727461 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146289025 + 18438436 = 12095^2 + 4294^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 164727461 - 2² = 164727457 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164727401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82363730 + 82363731.

It is an arithmetic number, because the mean of its divisors is an integer number (82363731).

Almost surely, 2^164727461 is an apocalyptic number.

It is an amenable number.

164727461 is a deficient number, since it is larger than the sum of its proper divisors (1).

164727461 is an equidigital number, since it uses as much as digits as its factorization.

164727461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56448, while the sum is 38.

The square root of 164727461 is about 12834.6196281775. The cubic root of 164727461 is about 548.1785042382.

The spelling of 164727461 in words is "one hundred sixty-four million, seven hundred twenty-seven thousand, four hundred sixty-one".