7201961 has 8 divisors (see below), whose sum is σ = 7863240. Its totient is φ = 6556032.

The previous prime is 7201949. The next prime is 7201963. The reversal of 7201961 is 1691027.

It can be written as a sum of positive squares in 4 ways, for example, as 78400 + 7123561 = 280^2 + 2669^2 .

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 7201961 - 2¹⁰ = 7200937 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 7201961.

It is not an unprimeable number, because it can be changed into a prime (7201963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2846 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (982905).

Almost surely, 2^7201961 is an apocalyptic number.

It is an amenable number.

7201961 is a deficient number, since it is larger than the sum of its proper divisors (661279).

7201961 is a wasteful number, since it uses less digits than its factorization.

7201961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 7201961 is about 2683.6469588975. The cubic root of 7201961 is about 193.1154061139.

Adding to 7201961 its reverse (1691027), we get a palindrome (8892988).

The spelling of 7201961 in words is "seven million, two hundred one thousand, nine hundred sixty-one".