164435193 has 24 divisors (see below), whose sum is σ = 257653760. Its totient is φ = 100452960.

The previous prime is 164435179. The next prime is 164435207. The reversal of 164435193 is 391534461.

164435193 is a `hidden beast` number, since 1 + 644 + 3 + 5 + 1 + 9 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (164435179) and next prime (164435207).

It is not a de Polignac number, because 164435193 - 2⁸ = 164434937 is a prime.

It is a super-3 number, since 3×164435193³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164435123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11208 + ... + 21318.

Almost surely, 2^164435193 is an apocalyptic number.

164435193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164435193 is a deficient number, since it is larger than the sum of its proper divisors (93218567).

164435193 is a wasteful number, since it uses less digits than its factorization.

164435193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10269 (or 10266 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 164435193 is about 12823.2286496030. The cubic root of 164435193 is about 547.8541100712.

The spelling of 164435193 in words is "one hundred sixty-four million, four hundred thirty-five thousand, one hundred ninety-three".