363972313 has 4 divisors (see below), whose sum is σ = 364013748. Its totient is φ = 363930880.

The previous prime is 363972289. The next prime is 363972337. The reversal of 363972313 is 313279363.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 313279363 = 9433 ⋅33211.

It is an interprime number because it is at equal distance from previous prime (363972289) and next prime (363972337).

It can be written as a sum of positive squares in 2 ways, for example, as 27910089 + 336062224 = 5283^2 + 18332^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-363972313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363972013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1756 + ... + 27037.

It is an arithmetic number, because the mean of its divisors is an integer number (91003437).

Almost surely, 2^363972313 is an apocalyptic number.

It is an amenable number.

363972313 is a deficient number, since it is larger than the sum of its proper divisors (41435).

363972313 is a wasteful number, since it uses less digits than its factorization.

363972313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41434.

The product of its digits is 61236, while the sum is 37.

The square root of 363972313 is about 19078.0584179837. The cubic root of 363972313 is about 713.9855946009.

The spelling of 363972313 in words is "three hundred sixty-three million, nine hundred seventy-two thousand, three hundred thirteen".