1000040167 has 32 divisors (see below), whose sum is σ = 1236096000. Its totient is φ = 806458464.

The previous prime is 1000040141. The next prime is 1000040179. The reversal of 1000040167 is 7610400001.

It is a happy number.

It is not a de Polignac number, because 1000040167 - 2²³ = 991651559 is a prime.

It is a super-2 number, since 2×1000040167² = 2000160671226775778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000040137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1126998 + ... + 1127884.

It is an arithmetic number, because the mean of its divisors is an integer number (38628000).

Almost surely, 2^1000040167 is an apocalyptic number.

1000040167 is a deficient number, since it is larger than the sum of its proper divisors (236055833).

1000040167 is an equidigital number, since it uses as much as digits as its factorization.

1000040167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1000040167 is about 31623.4116913403. The cubic root of 1000040167 is about 1000.0133888207.

Adding to 1000040167 its reverse (7610400001), we get a palindrome (8610440168).

The spelling of 1000040167 in words is "one billion, forty thousand, one hundred sixty-seven".