164761 has 8 divisors (see below), whose sum is σ = 174344. Its totient is φ = 155520.

The previous prime is 164743. The next prime is 164767. The reversal of 164761 is 167461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19600 + 145161 = 140^2 + 381^2 .

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

It is a 5-Lehmer number, since φ(164761) divides (164761-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 164761 - 2⁵ = 164729 is a prime.

It is a deceptive number, since it divides R₁₆₄₇₆₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164767) 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, 2221 + ... + 2293.

It is an arithmetic number, because the mean of its divisors is an integer number (21793).

2¹⁶⁴⁷⁶¹ is an apocalyptic number.

It is an amenable number.

164761 is a deficient number, since it is larger than the sum of its proper divisors (9583).

164761 is an equidigital number, since it uses as much as digits as its factorization.

164761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171.

The product of its digits is 1008, while the sum is 25.

The square root of 164761 is about 405.9076249592. The cubic root of 164761 is about 54.8215705304.

It can be divided in two parts, 16 and 4761, that multiplied together give a square (76176 = 276²).

The spelling of 164761 in words is "one hundred sixty-four thousand, seven hundred sixty-one".