1006621 has 16 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 737280.

The previous prime is 1006613. The next prime is 1006633. The reversal of 1006621 is 1266001.

It is a 7-Lehmer number, since φ(1006621) divides (1006621-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 1006621 - 2³ = 1006613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006595 and 1006604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006651) 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, 925 + ... + 1693.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

2^1006621 is an apocalyptic number.

1006621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006621 is a deficient number, since it is larger than the sum of its proper divisors (323939).

1006621 is a wasteful number, since it uses less digits than its factorization.

1006621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1006621 is about 1003.3050383607. The cubic root of 1006621 is about 100.2202146989.

The spelling of 1006621 in words is "one million, six thousand, six hundred twenty-one".