147164193 has 36 divisors (see below), whose sum is σ = 234929604. Its totient is φ = 88704000.

The previous prime is 147164159. The next prime is 147164197. The reversal of 147164193 is 391461741.

147164193 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 641 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105329169 + 41835024 = 10263^2 + 6468^2 .

It is not a de Polignac number, because 147164193 - 2⁸ = 147163937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (147164197) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366793 + ... + 367193.

Almost surely, 2^147164193 is an apocalyptic number.

It is an amenable number.

147164193 is a deficient number, since it is larger than the sum of its proper divisors (87765411).

147164193 is a wasteful number, since it uses less digits than its factorization.

147164193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 752 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 147164193 is about 12131.1249684438. The cubic root of 147164193 is about 527.9596323305.

The spelling of 147164193 in words is "one hundred forty-seven million, one hundred sixty-four thousand, one hundred ninety-three".