4261167 has 20 divisors (see below), whose sum is σ = 6574656. Its totient is φ = 2747520.

The previous prime is 4261151. The next prime is 4261177. The reversal of 4261167 is 7611624.

4261167 is a `hidden beast` number, since 42 + 611 + 6 + 7 = 666.

It is not a de Polignac number, because 4261167 - 2⁴ = 4261151 is a prime.

It is a super-3 number, since 3×4261167³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

4261167 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4261167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261177) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1663 + ... + 3359.

Almost surely, 2^4261167 is an apocalyptic number.

4261167 is a deficient number, since it is larger than the sum of its proper divisors (2313489).

4261167 is a wasteful number, since it uses less digits than its factorization.

4261167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1731 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 4261167 is about 2064.2594313700. The cubic root of 4261167 is about 162.1223355776.

The spelling of 4261167 in words is "four million, two hundred sixty-one thousand, one hundred sixty-seven".