1467661 has 16 divisors (see below), whose sum is σ = 1738800. Its totient is φ = 1225728.

The previous prime is 1467629. The next prime is 1467673. The reversal of 1467661 is 1667641.

1467661 = 144² + 145² + ... + 194².

It can be written as a sum of positive squares in 8 ways, for example, as 72900 + 1394761 = 270^2 + 1181^2 .

It is a cyclic number.

It is not a de Polignac number, because 1467661 - 2⁵ = 1467629 is a prime.

It is a Duffinian number.

Its product of digits (6048) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1467611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6295 + ... + 6523.

It is an arithmetic number, because the mean of its divisors is an integer number (108675).

2^1467661 is an apocalyptic number.

It is an amenable number.

1467661 is a deficient number, since it is larger than the sum of its proper divisors (271139).

1467661 is a wasteful number, since it uses less digits than its factorization.

1467661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 6048, while the sum is 31.

The square root of 1467661 is about 1211.4705939477. The cubic root of 1467661 is about 113.6427980066.

The spelling of 1467661 in words is "one million, four hundred sixty-seven thousand, six hundred sixty-one".