10166273 has 16 divisors (see below), whose sum is σ = 11692800. Its totient is φ = 8760960.

The previous prime is 10166263. The next prime is 10166281. The reversal of 10166273 is 37266101.

It is not a de Polignac number, because 10166273 - 2¹² = 10162177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10166213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19253 + ... + 19773.

It is an arithmetic number, because the mean of its divisors is an integer number (730800).

It is a Proth number, since it is equal to 1241 ⋅ 2¹³ + 1 and 1241 < 2¹³.

Almost surely, 2^10166273 is an apocalyptic number.

10166273 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10166273 is a deficient number, since it is larger than the sum of its proper divisors (1526527).

10166273 is a wasteful number, since it uses less digits than its factorization.

10166273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 10166273 is about 3188.4593458283. The cubic root of 10166273 is about 216.6309924171.

The spelling of 10166273 in words is "ten million, one hundred sixty-six thousand, two hundred seventy-three".