167166441 has 24 divisors (see below), whose sum is σ = 261959880. Its totient is φ = 102110976.

The previous prime is 167166431. The next prime is 167166479. The reversal of 167166441 is 144661761.

It is a happy number.

167166441 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 6 + 644 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50979600 + 116186841 = 7140^2 + 10779^2 .

It is not a de Polignac number, because 167166441 - 2¹³ = 167158249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 167166396 and 167166405.

It is not an unprimeable number, because it can be changed into a prime (167166401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10815 + ... + 21243.

It is an arithmetic number, because the mean of its divisors is an integer number (10914995).

Almost surely, 2^167166441 is an apocalyptic number.

It is an amenable number.

167166441 is a deficient number, since it is larger than the sum of its proper divisors (94793439).

167166441 is a wasteful number, since it uses less digits than its factorization.

167166441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10585 (or 10582 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 167166441 is about 12929.2861751916. The cubic root of 167166441 is about 550.8707320685.

The spelling of 167166441 in words is "one hundred sixty-seven million, one hundred sixty-six thousand, four hundred forty-one".