82345407 has 16 divisors (see below), whose sum is σ = 111296640. Its totient is φ = 54151200.

The previous prime is 82345349. The next prime is 82345429. The reversal of 82345407 is 70454328.

It is not a de Polignac number, because 82345407 - 2⁷ = 82345279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82345447) 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, 74932 + ... + 76022.

It is an arithmetic number, because the mean of its divisors is an integer number (6956040).

Almost surely, 2^82345407 is an apocalyptic number.

82345407 is a deficient number, since it is larger than the sum of its proper divisors (28951233).

82345407 is a wasteful number, since it uses less digits than its factorization.

82345407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 82345407 is about 9074.4370073300. The cubic root of 82345407 is about 435.0572998901.

The spelling of 82345407 in words is "eighty-two million, three hundred forty-five thousand, four hundred seven".