7641601 has 8 divisors (see below), whose sum is σ = 8356608. Its totient is φ = 6930000.

The previous prime is 7641533. The next prime is 7641611. The reversal of 7641601 is 1061467.

It is a happy number.

7641601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 7641601 - 2¹⁵ = 7608833 is a prime.

It is a Duffinian number.

7641601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7641611) 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, 7216 + ... + 8206.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 2^7641601 is an apocalyptic number.

It is an amenable number.

7641601 is a deficient number, since it is larger than the sum of its proper divisors (715007).

7641601 is a wasteful number, since it uses less digits than its factorization.

7641601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 7641601 is about 2764.3445877821. The cubic root of 7641601 is about 196.9675966872.

The spelling of 7641601 in words is "seven million, six hundred forty-one thousand, six hundred one".