81625167 has 24 divisors (see below), whose sum is σ = 127400000. Its totient is φ = 50061888.

The previous prime is 81625153. The next prime is 81625171. The reversal of 81625167 is 76152618.

81625167 is a `hidden beast` number, since 81 + 62 + 516 + 7 = 666.

It is not a de Polignac number, because 81625167 - 2⁴ = 81625151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81625127) 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 23 ways as a sum of consecutive naturals, for example, 39834 + ... + 41832.

Almost surely, 2^81625167 is an apocalyptic number.

81625167 is a deficient number, since it is larger than the sum of its proper divisors (45774833).

81625167 is a wasteful number, since it uses less digits than its factorization.

81625167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2364 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 81625167 is about 9034.6647419813. The cubic root of 81625167 is about 433.7851637619.

The spelling of 81625167 in words is "eighty-one million, six hundred twenty-five thousand, one hundred sixty-seven".