2020167 has 8 divisors (see below), whose sum is σ = 2992880. Its totient is φ = 1346760.

The previous prime is 2020153. The next prime is 2020171. The reversal of 2020167 is 7610202.

It is a happy number.

It is not a de Polignac number, because 2020167 - 2⁸ = 2019911 is a prime.

It is a super-3 number, since 3×2020167³ = 24733357348235992389, which contains 333 as substring.

It is a Duffinian number.

2020167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37384 + ... + 37437.

It is an arithmetic number, because the mean of its divisors is an integer number (374110).

2^2020167 is an apocalyptic number.

2020167 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2020167 is a deficient number, since it is larger than the sum of its proper divisors (972713).

2020167 is an equidigital number, since it uses as much as digits as its factorization.

2020167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74830 (or 74824 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2020167 is about 1421.3257895360. The cubic root of 2020167 is about 126.4141699852.

Adding to 2020167 its reverse (7610202), we get a palindrome (9630369).

It can be divided in two parts, 2020 and 167, that added together give a 7-th power (2187 = 3⁷).

The spelling of 2020167 in words is "two million, twenty thousand, one hundred sixty-seven".