82315953 has 16 divisors (see below), whose sum is σ = 122536000. Its totient is φ = 54613440.

The previous prime is 82315951. The next prime is 82315963. The reversal of 82315953 is 35951328.

It is not a de Polignac number, because 82315953 - 2¹ = 82315951 is a prime.

It is a super-3 number, since 3×82315953³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82315951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528 + ... + 12921.

It is an arithmetic number, because the mean of its divisors is an integer number (7658500).

Almost surely, 2^82315953 is an apocalyptic number.

It is an amenable number.

82315953 is a deficient number, since it is larger than the sum of its proper divisors (40220047).

82315953 is a wasteful number, since it uses less digits than its factorization.

82315953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14669 (or 14663 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 82315953 is about 9072.8139515808. The cubic root of 82315953 is about 435.0054220489.

The spelling of 82315953 in words is "eighty-two million, three hundred fifteen thousand, nine hundred fifty-three".