2355201 has 12 divisors (see below), whose sum is σ = 3424512. Its totient is φ = 1559736.

The previous prime is 2355191. The next prime is 2355209. The reversal of 2355201 is 1025532.

It is a happy number.

It is not a de Polignac number, because 2355201 - 2⁵ = 2355169 is a prime.

2355201 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (285376).

It is a Proth number, since it is equal to 575 ⋅ 2¹² + 1 and 575 < 2¹².

2^2355201 is an apocalyptic number.

It is an amenable number.

2355201 is a deficient number, since it is larger than the sum of its proper divisors (1069311).

2355201 is a wasteful number, since it uses less digits than its factorization.

2355201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2355201 is about 1534.6664132638. Note that the first 3 decimals coincide. The cubic root of 2355201 is about 133.0482987377.

It can be divided in two parts, 2355 and 201, that added together give a triangular number (2556 = T₇₁).

The spelling of 2355201 in words is "two million, three hundred fifty-five thousand, two hundred one".