164117457 has 12 divisors (see below), whose sum is σ = 270924160. Its totient is φ = 93781368.

The previous prime is 164117453. The next prime is 164117479. The reversal of 164117457 is 754711461.

164117457 is a `hidden beast` number, since 1 + 641 + 1 + 7 + 4 + 5 + 7 = 666.

164117457 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 164117457 - 2² = 164117453 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164117453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1302457 + ... + 1302582.

Almost surely, 2^164117457 is an apocalyptic number.

It is an amenable number.

164117457 is a deficient number, since it is larger than the sum of its proper divisors (106806703).

164117457 is a wasteful number, since it uses less digits than its factorization.

164117457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605052 (or 2605049 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 164117457 is about 12810.8335794358. The cubic root of 164117457 is about 547.5010120704.

The spelling of 164117457 in words is "one hundred sixty-four million, one hundred seventeen thousand, four hundred fifty-seven".