712561167 has 24 divisors (see below), whose sum is σ = 1036924928. Its totient is φ = 471517200.

The previous prime is 712561151. The next prime is 712561177. The reversal of 712561167 is 761165217.

712561167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 712561167 - 2⁴ = 712561151 is a prime.

It is a super-3 number, since 3×712561167³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712561177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1128942 + ... + 1129572.

Almost surely, 2^712561167 is an apocalyptic number.

712561167 is a deficient number, since it is larger than the sum of its proper divisors (324363761).

712561167 is a wasteful number, since it uses less digits than its factorization.

712561167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1368 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 712561167 is about 26693.8413683756. The cubic root of 712561167 is about 893.1835518572.

The spelling of 712561167 in words is "seven hundred twelve million, five hundred sixty-one thousand, one hundred sixty-seven".