363405241 has 8 divisors (see below), whose sum is σ = 366702984. Its totient is φ = 360117120.

The previous prime is 363405239. The next prime is 363405257. The reversal of 363405241 is 142504363.

It can be written as a sum of positive squares in 4 ways, for example, as 179667216 + 183738025 = 13404^2 + 13555^2 .

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 363405241 - 2¹ = 363405239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363405041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88551 + ... + 92563.

It is an arithmetic number, because the mean of its divisors is an integer number (45837873).

Almost surely, 2^363405241 is an apocalyptic number.

It is an amenable number.

363405241 is a deficient number, since it is larger than the sum of its proper divisors (3297743).

363405241 is a wasteful number, since it uses less digits than its factorization.

363405241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811.

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 363405241 is about 19063.1907350265. The cubic root of 363405241 is about 713.6146032953.

The spelling of 363405241 in words is "three hundred sixty-three million, four hundred five thousand, two hundred forty-one".