1000165167 has 12 divisors (see below), whose sum is σ = 1483729000. Its totient is φ = 648755568.

The previous prime is 1000165141. The next prime is 1000165237. The reversal of 1000165167 is 7615610001.

1000165167 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 651 + 6 + 7 = 666.

It is not a de Polignac number, because 1000165167 - 2⁷ = 1000165039 is a prime.

It is a super-2 number, since 2×1000165167² = 2000660722560275778, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000165167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000165367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1501417 + ... + 1502082.

Almost surely, 2^1000165167 is an apocalyptic number.

1000165167 is a deficient number, since it is larger than the sum of its proper divisors (483563833).

1000165167 is a wasteful number, since it uses less digits than its factorization.

1000165167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003542 (or 3003539 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1000165167 is about 31625.3880134300. The cubic root of 1000165167 is about 1000.0550526358.

Adding to 1000165167 its reverse (7615610001), we get a palindrome (8615775168).

The spelling of 1000165167 in words is "one billion, one hundred sixty-five thousand, one hundred sixty-seven".