164172057 has 16 divisors (see below), whose sum is σ = 250567680. Its totient is φ = 93662352.

The previous prime is 164172049. The next prime is 164172061. The reversal of 164172057 is 750271461.

It is not a de Polignac number, because 164172057 - 2³ = 164172049 is a prime.

It is a super-2 number, since 2×164172057² = 53904928599222498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164172017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7908 + ... + 19770.

It is an arithmetic number, because the mean of its divisors is an integer number (15660480).

Almost surely, 2^164172057 is an apocalyptic number.

It is an amenable number.

164172057 is a deficient number, since it is larger than the sum of its proper divisors (86395623).

164172057 is a wasteful number, since it uses less digits than its factorization.

164172057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12532.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 164172057 is about 12812.9644110955. The cubic root of 164172057 is about 547.5617211125.

It can be divided in two parts, 1641720 and 57, that multiplied together give a triangular number (93578040 = T₁₃₆₈₀).

The spelling of 164172057 in words is "one hundred sixty-four million, one hundred seventy-two thousand, fifty-seven".