82531305 has 24 divisors (see below), whose sum is σ = 148354752. Its totient is φ = 44016048.

The previous prime is 82531297. The next prime is 82531313. The reversal of 82531305 is 50313528.

It is an interprime number because it is at equal distance from previous prime (82531297) and next prime (82531313).

It is not a de Polignac number, because 82531305 - 2³ = 82531297 is a prime.

It is a super-2 number, since 2×82531305² = 13622832610006050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32749 + ... + 35178.

It is an arithmetic number, because the mean of its divisors is an integer number (6181448).

Almost surely, 2^82531305 is an apocalyptic number.

It is an amenable number.

82531305 is a deficient number, since it is larger than the sum of its proper divisors (65823447).

82531305 is an equidigital number, since it uses as much as digits as its factorization.

82531305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67947 (or 67935 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 82531305 is about 9084.6741823799. The cubic root of 82531305 is about 435.3844401668.

The spelling of 82531305 in words is "eighty-two million, five hundred thirty-one thousand, three hundred five".