1561167 has 16 divisors (see below), whose sum is σ = 2350080. Its totient is φ = 1024056.

The previous prime is 1561163. The next prime is 1561169. The reversal of 1561167 is 7611651.

It is not a de Polignac number, because 1561167 - 2² = 1561163 is a prime.

It is a super-3 number, since 3×1561167³ = 11414827226489533389, which contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1561167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561163) 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 15 ways as a sum of consecutive naturals, for example, 1378 + ... + 2240.

It is an arithmetic number, because the mean of its divisors is an integer number (146880).

2^1561167 is an apocalyptic number.

1561167 is a deficient number, since it is larger than the sum of its proper divisors (788913).

1561167 is an equidigital number, since it uses as much as digits as its factorization.

1561167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

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

The square root of 1561167 is about 1249.4666862306. The cubic root of 1561167 is about 116.0067128497.

It can be divided in two parts, 1561 and 167, that added together give a cube (1728 = 12³).

The spelling of 1561167 in words is "one million, five hundred sixty-one thousand, one hundred sixty-seven".