167146441 has 32 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 126878400.

The previous prime is 167146417. The next prime is 167146453. The reversal of 167146441 is 144641761.

167146441 = T₂₀₄₅ + T₂₀₄₆ + ... + T₂₁₂₁.

It is not a de Polignac number, because 167146441 - 2¹³ = 167138249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 167146397 and 167146406.

It is not an unprimeable number, because it can be changed into a prime (167146741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923371 + ... + 923551.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^167146441 is an apocalyptic number.

167146441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

167146441 is a deficient number, since it is larger than the sum of its proper divisors (46710839).

167146441 is a wasteful number, since it uses less digits than its factorization.

167146441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445.

The product of its digits is 16128, while the sum is 34.

The square root of 167146441 is about 12928.5127141524. The cubic root of 167146441 is about 550.8487622402.

The spelling of 167146441 in words is "one hundred sixty-seven million, one hundred forty-six thousand, four hundred forty-one".