7387201 has 2 divisors, whose sum is σ = 7387202. Its totient is φ = 7387200.

The previous prime is 7387187. The next prime is 7387217. The reversal of 7387201 is 1027837.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4060225 + 3326976 = 2015^2 + 1824^2 .

It is a cyclic number.

It is not a de Polignac number, because 7387201 - 2⁵ = 7387169 is a prime.

It is a super-2 number, since 2×7387201² = 109141477228802, which contains 22 as substring.

It is a Chen prime.

7387201 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7387201.

It is not a weakly prime, because it can be changed into another prime (7387291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3693600 + 3693601.

It is an arithmetic number, because the mean of its divisors is an integer number (3693601).

Almost surely, 2^7387201 is an apocalyptic number.

7387201 is the 1216-th centered decagonal number.

It is an amenable number.

7387201 is a deficient number, since it is larger than the sum of its proper divisors (1).

7387201 is an equidigital number, since it uses as much as digits as its factorization.

7387201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 7387201 is about 2717.9405806603. The cubic root of 7387201 is about 194.7571027822.

The spelling of 7387201 in words is "seven million, three hundred eighty-seven thousand, two hundred one".