1003657661 has 8 divisors (see below), whose sum is σ = 1027192320. Its totient is φ = 980293392.

The previous prime is 1003657657. The next prime is 1003657703. The reversal of 1003657661 is 1667563001.

It is a happy number.

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 1003657661 - 2² = 1003657657 is a prime.

It is a super-4 number, since 4×1003657661⁴ (a number of 37 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003657651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30641 + ... + 54278.

It is an arithmetic number, because the mean of its divisors is an integer number (128399040).

Almost surely, 2^1003657661 is an apocalyptic number.

It is an amenable number.

1003657661 is a deficient number, since it is larger than the sum of its proper divisors (23534659).

1003657661 is an equidigital number, since it uses as much as digits as its factorization.

1003657661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85195.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 1003657661 is about 31680.5565134200. The cubic root of 1003657661 is about 1001.2177368484.

The spelling of 1003657661 in words is "one billion, three million, six hundred fifty-seven thousand, six hundred sixty-one".