167542641 has 16 divisors (see below), whose sum is σ = 283670400. Its totient is φ = 95738544.

The previous prime is 167542621. The next prime is 167542673. The reversal of 167542641 is 146245761.

167542641 is a `hidden beast` number, since 1 + 6 + 7 + 5 + 4 + 2 + 641 = 666.

It is not a de Polignac number, because 167542641 - 2⁹ = 167542129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 167542596 and 167542605.

It is not an unprimeable number, because it can be changed into a prime (167542621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443046 + ... + 443423.

It is an arithmetic number, because the mean of its divisors is an integer number (17729400).

Almost surely, 2^167542641 is an apocalyptic number.

It is an amenable number.

167542641 is a deficient number, since it is larger than the sum of its proper divisors (116127759).

167542641 is an equidigital number, since it uses as much as digits as its factorization.

167542641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886485 (or 886479 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 167542641 is about 12943.8263662643. The cubic root of 167542641 is about 551.2836584566.

The spelling of 167542641 in words is "one hundred sixty-seven million, five hundred forty-two thousand, six hundred forty-one".