1007621 has 8 divisors (see below), whose sum is σ = 1048344. Its totient is φ = 967680.

The previous prime is 1007609. The next prime is 1007647. The reversal of 1007621 is 1267001.

1007621 = T₇₃ + T₇₄ + ... + T₁₈₅.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 172225 + 835396 = 415^2 + 914^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007621 - 2⁶ = 1007557 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1007621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4061 + ... + 4301.

It is an arithmetic number, because the mean of its divisors is an integer number (131043).

2^1007621 is an apocalyptic number.

It is an amenable number.

1007621 is a deficient number, since it is larger than the sum of its proper divisors (40723).

1007621 is a wasteful number, since it uses less digits than its factorization.

1007621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1007621 is about 1003.8032675779. The cubic root of 1007621 is about 100.2533907224.

The spelling of 1007621 in words is "one million, seven thousand, six hundred twenty-one".