164857693 has 32 divisors (see below), whose sum is σ = 222969600. Its totient is φ = 117711360.

The previous prime is 164857673. The next prime is 164857703. The reversal of 164857693 is 396758461.

It is not a de Polignac number, because 164857693 - 2²¹ = 162760541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164857603) 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, 156633 + ... + 157681.

It is an arithmetic number, because the mean of its divisors is an integer number (6967800).

Almost surely, 2^164857693 is an apocalyptic number.

164857693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164857693 is a deficient number, since it is larger than the sum of its proper divisors (58111907).

164857693 is a wasteful number, since it uses less digits than its factorization.

164857693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237.

The product of its digits is 1088640, while the sum is 49.

The square root of 164857693 is about 12839.6920913237. The cubic root of 164857693 is about 548.3229277955.

The spelling of 164857693 in words is "one hundred sixty-four million, eight hundred fifty-seven thousand, six hundred ninety-three".