40320313 has 16 divisors (see below), whose sum is σ = 45287424. Its totient is φ = 35583760.

The previous prime is 40320307. The next prime is 40320323. The reversal of 40320313 is 31302304.

It is a cyclic number.

It is not a de Polignac number, because 40320313 - 2²¹ = 38223161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40320323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86106 + ... + 86572.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2^40320313 is an apocalyptic number.

It is an amenable number.

40320313 is a deficient number, since it is larger than the sum of its proper divisors (4967111).

40320313 is a wasteful number, since it uses less digits than its factorization.

40320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 40320313 is about 6349.8277929405. The cubic root of 40320313 is about 342.9056426017.

Adding to 40320313 its reverse (31302304), we get a palindrome (71622617).

Subtracting from 40320313 its reverse (31302304), we obtain a square (9018009 = 3003²).

The spelling of 40320313 in words is "forty million, three hundred twenty thousand, three hundred thirteen".