82313405 has 16 divisors (see below), whose sum is σ = 104799744. Its totient is φ = 61850880.

The previous prime is 82313393. The next prime is 82313417. The reversal of 82313405 is 50431328.

It is an interprime number because it is at equal distance from previous prime (82313393) and next prime (82313417).

It is a de Polignac number, because none of the positive numbers 2^k-82313405 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 76904 + ... + 77966.

It is an arithmetic number, because the mean of its divisors is an integer number (6549984).

Almost surely, 2^82313405 is an apocalyptic number.

82313405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82313405 is a deficient number, since it is larger than the sum of its proper divisors (22486339).

82313405 is a wasteful number, since it uses less digits than its factorization.

82313405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 82313405 is about 9072.6735309940. The cubic root of 82313405 is about 435.0009336308. Note that the first 3 decimals are identical.

The spelling of 82313405 in words is "eighty-two million, three hundred thirteen thousand, four hundred five".