164014761 has 8 divisors (see below), whose sum is σ = 219175200. Its totient is φ = 109098752.

The previous prime is 164014733. The next prime is 164014789. The reversal of 164014761 is 167410461.

164014761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164014733) and next prime (164014789).

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 164014761 - 2¹³ = 164006569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164014261) 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, 59535 + ... + 62228.

It is an arithmetic number, because the mean of its divisors is an integer number (27396900).

Almost surely, 2^164014761 is an apocalyptic number.

It is an amenable number.

164014761 is a deficient number, since it is larger than the sum of its proper divisors (55160439).

164014761 is a wasteful number, since it uses less digits than its factorization.

164014761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122215.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 164014761 is about 12806.8247821230. The cubic root of 164014761 is about 547.3867892107.

The spelling of 164014761 in words is "one hundred sixty-four million, fourteen thousand, seven hundred sixty-one".