1006461 has 6 divisors (see below), whose sum is σ = 1453790. Its totient is φ = 670968.

The previous prime is 1006441. The next prime is 1006463. The reversal of 1006461 is 1646001.

It can be written as a sum of positive squares in only one way, i.e., 962361 + 44100 = 981^2 + 210^2 .

It is not a de Polignac number, because 1006461 - 2⁷ = 1006333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55906 + ... + 55923.

2^1006461 is an apocalyptic number.

It is an amenable number.

1006461 is a deficient number, since it is larger than the sum of its proper divisors (447329).

1006461 is a wasteful number, since it uses less digits than its factorization.

1006461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111835 (or 111832 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1006461 is about 1003.2252987241. The cubic root of 1006461 is about 100.2149044964.

It can be divided in two parts, 100 and 6461, that added together give a 8-th power (6561 = 3⁸).

The spelling of 1006461 in words is "one million, six thousand, four hundred sixty-one".