164735457 has 32 divisors (see below), whose sum is σ = 248417280. Its totient is φ = 96552960.

The previous prime is 164735449. The next prime is 164735477. The reversal of 164735457 is 754537461.

It is a happy number.

164735457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164735457 - 2³ = 164735449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164735447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44053 + ... + 47645.

It is an arithmetic number, because the mean of its divisors is an integer number (7763040).

Almost surely, 2^164735457 is an apocalyptic number.

164735457 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

164735457 is a deficient number, since it is larger than the sum of its proper divisors (83681823).

164735457 is a wasteful number, since it uses less digits than its factorization.

164735457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673.

The product of its digits is 352800, while the sum is 42.

The square root of 164735457 is about 12834.9311256430. The cubic root of 164735457 is about 548.1873737661.

The spelling of 164735457 in words is "one hundred sixty-four million, seven hundred thirty-five thousand, four hundred fifty-seven".