82370313 has 24 divisors (see below), whose sum is σ = 123027840. Its totient is φ = 53076960.

The previous prime is 82370293. The next prime is 82370341. The reversal of 82370313 is 31307328.

It is not a de Polignac number, because 82370313 - 2⁹ = 82369801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82370713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31120 + ... + 33662.

It is an arithmetic number, because the mean of its divisors is an integer number (5126160).

Almost surely, 2^82370313 is an apocalyptic number.

It is an amenable number.

82370313 is a deficient number, since it is larger than the sum of its proper divisors (40657527).

82370313 is a wasteful number, since it uses less digits than its factorization.

82370313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 82370313 is about 9075.8092201192. The cubic root of 82370313 is about 435.1011576079.

The spelling of 82370313 in words is "eighty-two million, three hundred seventy thousand, three hundred thirteen".