167991945 has 32 divisors (see below), whose sum is σ = 302690304. Its totient is φ = 78820800.

The previous prime is 167991899. The next prime is 167991953. The reversal of 167991945 is 549199761.

It is not a de Polignac number, because 167991945 - 2¹² = 167987849 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11307 + ... + 21536.

It is an arithmetic number, because the mean of its divisors is an integer number (9459072).

Almost surely, 2^167991945 is an apocalyptic number.

167991945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

167991945 is a deficient number, since it is larger than the sum of its proper divisors (134698359).

167991945 is a wasteful number, since it uses less digits than its factorization.

167991945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32893.

The product of its digits is 612360, while the sum is 51.

The square root of 167991945 is about 12961.1706647201. The cubic root of 167991945 is about 551.7760164312.

The spelling of 167991945 in words is "one hundred sixty-seven million, nine hundred ninety-one thousand, nine hundred forty-five".